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Finding the Third Proportional to 91,221 and 136,695

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Solution

The third proportional to 91,221 and 136,695 is: 204,837.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,221 : 136,695 = 136,695 : x
  2. Step 2: Convert to fraction form
    91,221/136,695 = 136,695/x
  3. Step 3: Cross multiply
    91,221x = 136,695 × 136,695
  4. Step 4: Simplify right side
    91,221x = 18,685,523,025
  5. Step 5: Solve for x
    x = 18,685,523,025/91,221
  6. Step 6: Final answer
    x = 204,837.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.