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Finding the Third Proportional to 399,743 and 615,051

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Solution

The third proportional to 399,743 and 615,051 is: 946,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,743 : 615,051 = 615,051 : x
  2. Step 2: Convert to fraction form
    399,743/615,051 = 615,051/x
  3. Step 3: Cross multiply
    399,743x = 615,051 × 615,051
  4. Step 4: Simplify right side
    399,743x = 378,287,732,601
  5. Step 5: Solve for x
    x = 378,287,732,601/399,743
  6. Step 6: Final answer
    x = 946,327.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.