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Finding the Third Proportional to 68,069,340 and 145,706,808

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Solution

The third proportional to 68,069,340 and 145,706,808 is: 311,894,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,069,340 : 145,706,808 = 145,706,808 : x
  2. Step 2: Convert to fraction form
    68,069,340/145,706,808 = 145,706,808/x
  3. Step 3: Cross multiply
    68,069,340x = 145,706,808 × 145,706,808
  4. Step 4: Simplify right side
    68,069,340x = 21,230,473,897,548,864
  5. Step 5: Solve for x
    x = 21,230,473,897,548,864/68,069,340
  6. Step 6: Final answer
    x = 311,894,810.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.