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Finding the Third Proportional to 66,981 and 91,217

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Solution

The third proportional to 66,981 and 91,217 is: 124,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,981 : 91,217 = 91,217 : x
  2. Step 2: Convert to fraction form
    66,981/91,217 = 91,217/x
  3. Step 3: Cross multiply
    66,981x = 91,217 × 91,217
  4. Step 4: Simplify right side
    66,981x = 8,320,541,089
  5. Step 5: Solve for x
    x = 8,320,541,089/66,981
  6. Step 6: Final answer
    x = 124,222.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.