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Finding the Third Proportional to 415,806 and 643,581

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Solution

The third proportional to 415,806 and 643,581 is: 996,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,806 : 643,581 = 643,581 : x
  2. Step 2: Convert to fraction form
    415,806/643,581 = 643,581/x
  3. Step 3: Cross multiply
    415,806x = 643,581 × 643,581
  4. Step 4: Simplify right side
    415,806x = 414,196,503,561
  5. Step 5: Solve for x
    x = 414,196,503,561/415,806
  6. Step 6: Final answer
    x = 996,129.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.