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Finding the Third Proportional to 841,420,023,428.80 and 1,706,253,541,856.50

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Solution

The third proportional to 841,420,023,428.80 and 1,706,253,541,856.50 is: 3,459,985,581,558.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,420,023,428.80 : 1,706,253,541,856.50 = 1,706,253,541,856.50 : x
  2. Step 2: Convert to fraction form
    841,420,023,428.80/1,706,253,541,856.50 = 1,706,253,541,856.50/x
  3. Step 3: Cross multiply
    841,420,023,428.80x = 1,706,253,541,856.50 × 1,706,253,541,856.50
  4. Step 4: Simplify right side
    841,420,023,428.80x = 2,911,301,149,097,850,805,682,176
  5. Step 5: Solve for x
    x = 2,911,301,149,097,850,805,682,176/841,420,023,428.80
  6. Step 6: Final answer
    x = 3,459,985,581,558.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.