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Finding the Third Proportional to 91,749.38 and 129,205.13

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Solution

The third proportional to 91,749.38 and 129,205.13 is: 181,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,749.38 : 129,205.13 = 129,205.13 : x
  2. Step 2: Convert to fraction form
    91,749.38/129,205.13 = 129,205.13/x
  3. Step 3: Cross multiply
    91,749.38x = 129,205.13 × 129,205.13
  4. Step 4: Simplify right side
    91,749.38x = 16,693,964,326.27
  5. Step 5: Solve for x
    x = 16,693,964,326.27/91,749.38
  6. Step 6: Final answer
    x = 181,951.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.