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Finding the Third Proportional to 151,711.31 and 218,535.47

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Solution

The third proportional to 151,711.31 and 218,535.47 is: 314,793.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,711.31 : 218,535.47 = 218,535.47 : x
  2. Step 2: Convert to fraction form
    151,711.31/218,535.47 = 218,535.47/x
  3. Step 3: Cross multiply
    151,711.31x = 218,535.47 × 218,535.47
  4. Step 4: Simplify right side
    151,711.31x = 47,757,751,101.78
  5. Step 5: Solve for x
    x = 47,757,751,101.78/151,711.31
  6. Step 6: Final answer
    x = 314,793.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.