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Finding the Third Proportional to 81,654.38 and 124,269.38

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Solution

The third proportional to 81,654.38 and 124,269.38 is: 189,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,654.38 : 124,269.38 = 124,269.38 : x
  2. Step 2: Convert to fraction form
    81,654.38/124,269.38 = 124,269.38/x
  3. Step 3: Cross multiply
    81,654.38x = 124,269.38 × 124,269.38
  4. Step 4: Simplify right side
    81,654.38x = 15,442,877,562.89
  5. Step 5: Solve for x
    x = 15,442,877,562.89/81,654.38
  6. Step 6: Final answer
    x = 189,124.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.