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Finding the Third Proportional to 257,718.38 and 392,046.75

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Solution

The third proportional to 257,718.38 and 392,046.75 is: 596,389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,718.38 : 392,046.75 = 392,046.75 : x
  2. Step 2: Convert to fraction form
    257,718.38/392,046.75 = 392,046.75/x
  3. Step 3: Cross multiply
    257,718.38x = 392,046.75 × 392,046.75
  4. Step 4: Simplify right side
    257,718.38x = 153,700,654,185.56
  5. Step 5: Solve for x
    x = 153,700,654,185.56/257,718.38
  6. Step 6: Final answer
    x = 596,389.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.