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Finding the Third Proportional to 91,758.25 and 129,214.75

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Solution

The third proportional to 91,758.25 and 129,214.75 is: 181,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,758.25 : 129,214.75 = 129,214.75 : x
  2. Step 2: Convert to fraction form
    91,758.25/129,214.75 = 129,214.75/x
  3. Step 3: Cross multiply
    91,758.25x = 129,214.75 × 129,214.75
  4. Step 4: Simplify right side
    91,758.25x = 16,696,451,617.56
  5. Step 5: Solve for x
    x = 16,696,451,617.56/91,758.25
  6. Step 6: Final answer
    x = 181,961.31

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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.