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Finding the Third Proportional to 257,581.69 and 394,020.28

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Solution

The third proportional to 257,581.69 and 394,020.28 is: 602,729.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,581.69 : 394,020.28 = 394,020.28 : x
  2. Step 2: Convert to fraction form
    257,581.69/394,020.28 = 394,020.28/x
  3. Step 3: Cross multiply
    257,581.69x = 394,020.28 × 394,020.28
  4. Step 4: Simplify right side
    257,581.69x = 155,251,982,036.33
  5. Step 5: Solve for x
    x = 155,251,982,036.33/257,581.69
  6. Step 6: Final answer
    x = 602,729.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.