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Finding the Third Proportional to 329,984,064 and 687,070,512

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Solution

The third proportional to 329,984,064 and 687,070,512 is: 1,430,571,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,984,064 : 687,070,512 = 687,070,512 : x
  2. Step 2: Convert to fraction form
    329,984,064/687,070,512 = 687,070,512/x
  3. Step 3: Cross multiply
    329,984,064x = 687,070,512 × 687,070,512
  4. Step 4: Simplify right side
    329,984,064x = 472,065,888,459,942,144
  5. Step 5: Solve for x
    x = 472,065,888,459,942,144/329,984,064
  6. Step 6: Final answer
    x = 1,430,571,775.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.