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Finding the Third Proportional to 81,627.38 and 126,135

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Solution

The third proportional to 81,627.38 and 126,135 is: 194,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,627.38 : 126,135 = 126,135 : x
  2. Step 2: Convert to fraction form
    81,627.38/126,135 = 126,135/x
  3. Step 3: Cross multiply
    81,627.38x = 126,135 × 126,135
  4. Step 4: Simplify right side
    81,627.38x = 15,910,038,225
  5. Step 5: Solve for x
    x = 15,910,038,225/81,627.38
  6. Step 6: Final answer
    x = 194,910.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.