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Finding the Third Proportional to 91,286 and 136,317

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Solution

The third proportional to 91,286 and 136,317 is: 203,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,286 : 136,317 = 136,317 : x
  2. Step 2: Convert to fraction form
    91,286/136,317 = 136,317/x
  3. Step 3: Cross multiply
    91,286x = 136,317 × 136,317
  4. Step 4: Simplify right side
    91,286x = 18,582,324,489
  5. Step 5: Solve for x
    x = 18,582,324,489/91,286
  6. Step 6: Final answer
    x = 203,561.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.