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Finding the Third Proportional to 329,984,070 and 687,070,524

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Solution

The third proportional to 329,984,070 and 687,070,524 is: 1,430,571,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,984,070 : 687,070,524 = 687,070,524 : x
  2. Step 2: Convert to fraction form
    329,984,070/687,070,524 = 687,070,524/x
  3. Step 3: Cross multiply
    329,984,070x = 687,070,524 × 687,070,524
  4. Step 4: Simplify right side
    329,984,070x = 472,065,904,949,634,560
  5. Step 5: Solve for x
    x = 472,065,904,949,634,560/329,984,070
  6. Step 6: Final answer
    x = 1,430,571,799.87

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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.