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Finding the Third Proportional to 91,218 and 136,463

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Solution

The third proportional to 91,218 and 136,463 is: 204,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,218 : 136,463 = 136,463 : x
  2. Step 2: Convert to fraction form
    91,218/136,463 = 136,463/x
  3. Step 3: Cross multiply
    91,218x = 136,463 × 136,463
  4. Step 4: Simplify right side
    91,218x = 18,622,150,369
  5. Step 5: Solve for x
    x = 18,622,150,369/91,218
  6. Step 6: Final answer
    x = 204,149.95

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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.