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Finding the Third Proportional to 257,724 and 387,063

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Solution

The third proportional to 257,724 and 387,063 is: 581,310.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,724 : 387,063 = 387,063 : x
  2. Step 2: Convert to fraction form
    257,724/387,063 = 387,063/x
  3. Step 3: Cross multiply
    257,724x = 387,063 × 387,063
  4. Step 4: Simplify right side
    257,724x = 149,817,765,969
  5. Step 5: Solve for x
    x = 149,817,765,969/257,724
  6. Step 6: Final answer
    x = 581,310.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.