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Finding the Third Proportional to 181,639.13 and 280,123.31

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Solution

The third proportional to 181,639.13 and 280,123.31 is: 432,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,639.13 : 280,123.31 = 280,123.31 : x
  2. Step 2: Convert to fraction form
    181,639.13/280,123.31 = 280,123.31/x
  3. Step 3: Cross multiply
    181,639.13x = 280,123.31 × 280,123.31
  4. Step 4: Simplify right side
    181,639.13x = 78,469,070,205.97
  5. Step 5: Solve for x
    x = 78,469,070,205.97/181,639.13
  6. Step 6: Final answer
    x = 432,005.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.