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Finding the Third Proportional to 91,197 and 136,431

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Solution

The third proportional to 91,197 and 136,431 is: 204,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,197 : 136,431 = 136,431 : x
  2. Step 2: Convert to fraction form
    91,197/136,431 = 136,431/x
  3. Step 3: Cross multiply
    91,197x = 136,431 × 136,431
  4. Step 4: Simplify right side
    91,197x = 18,613,417,761
  5. Step 5: Solve for x
    x = 18,613,417,761/91,197
  6. Step 6: Final answer
    x = 204,101.21

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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.