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Finding the Third Proportional to 407,397 and 532,302

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Solution

The third proportional to 407,397 and 532,302 is: 695,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,397 : 532,302 = 532,302 : x
  2. Step 2: Convert to fraction form
    407,397/532,302 = 532,302/x
  3. Step 3: Cross multiply
    407,397x = 532,302 × 532,302
  4. Step 4: Simplify right side
    407,397x = 283,345,419,204
  5. Step 5: Solve for x
    x = 283,345,419,204/407,397
  6. Step 6: Final answer
    x = 695,501.98

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.