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Finding the Third Proportional to 427,068 and 643,397

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Solution

The third proportional to 427,068 and 643,397 is: 969,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,068 : 643,397 = 643,397 : x
  2. Step 2: Convert to fraction form
    427,068/643,397 = 643,397/x
  3. Step 3: Cross multiply
    427,068x = 643,397 × 643,397
  4. Step 4: Simplify right side
    427,068x = 413,959,699,609
  5. Step 5: Solve for x
    x = 413,959,699,609/427,068
  6. Step 6: Final answer
    x = 969,306.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.