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Finding the Third Proportional to 81,732.38 and 175,988.74

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Solution

The third proportional to 81,732.38 and 175,988.74 is: 378,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,732.38 : 175,988.74 = 175,988.74 : x
  2. Step 2: Convert to fraction form
    81,732.38/175,988.74 = 175,988.74/x
  3. Step 3: Cross multiply
    81,732.38x = 175,988.74 × 175,988.74
  4. Step 4: Simplify right side
    81,732.38x = 30,972,037,376.74
  5. Step 5: Solve for x
    x = 30,972,037,376.74/81,732.38
  6. Step 6: Final answer
    x = 378,944.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.