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Finding the Third Proportional to 257,357.25 and 387,929.25

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Solution

The third proportional to 257,357.25 and 387,929.25 is: 584,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,357.25 : 387,929.25 = 387,929.25 : x
  2. Step 2: Convert to fraction form
    257,357.25/387,929.25 = 387,929.25/x
  3. Step 3: Cross multiply
    257,357.25x = 387,929.25 × 387,929.25
  4. Step 4: Simplify right side
    257,357.25x = 150,489,103,005.56
  5. Step 5: Solve for x
    x = 150,489,103,005.56/257,357.25
  6. Step 6: Final answer
    x = 584,747.87

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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.