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Finding the Third Proportional to 406,774 and 615,419

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Solution

The third proportional to 406,774 and 615,419 is: 931,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,774 : 615,419 = 615,419 : x
  2. Step 2: Convert to fraction form
    406,774/615,419 = 615,419/x
  3. Step 3: Cross multiply
    406,774x = 615,419 × 615,419
  4. Step 4: Simplify right side
    406,774x = 378,740,545,561
  5. Step 5: Solve for x
    x = 378,740,545,561/406,774
  6. Step 6: Final answer
    x = 931,083.47

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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.