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Finding the Third Proportional to 91,759 and 129,215

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Solution

The third proportional to 91,759 and 129,215 is: 181,960.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,759 : 129,215 = 129,215 : x
  2. Step 2: Convert to fraction form
    91,759/129,215 = 129,215/x
  3. Step 3: Cross multiply
    91,759x = 129,215 × 129,215
  4. Step 4: Simplify right side
    91,759x = 16,696,516,225
  5. Step 5: Solve for x
    x = 16,696,516,225/91,759
  6. Step 6: Final answer
    x = 181,960.53

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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.