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Finding the Third Proportional to 257,658.75 and 378,781.13

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Solution

The third proportional to 257,658.75 and 378,781.13 is: 556,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,658.75 : 378,781.13 = 378,781.13 : x
  2. Step 2: Convert to fraction form
    257,658.75/378,781.13 = 378,781.13/x
  3. Step 3: Cross multiply
    257,658.75x = 378,781.13 × 378,781.13
  4. Step 4: Simplify right side
    257,658.75x = 143,475,140,656.27
  5. Step 5: Solve for x
    x = 143,475,140,656.27/257,658.75
  6. Step 6: Final answer
    x = 556,841.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.