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Finding the Third Proportional to 406,776 and 615,422

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Solution

The third proportional to 406,776 and 615,422 is: 931,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,776 : 615,422 = 615,422 : x
  2. Step 2: Convert to fraction form
    406,776/615,422 = 615,422/x
  3. Step 3: Cross multiply
    406,776x = 615,422 × 615,422
  4. Step 4: Simplify right side
    406,776x = 378,744,238,084
  5. Step 5: Solve for x
    x = 378,744,238,084/406,776
  6. Step 6: Final answer
    x = 931,087.97

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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.