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Finding the Third Proportional to 91,089 and 136,269

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Solution

The third proportional to 91,089 and 136,269 is: 203,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,089 : 136,269 = 136,269 : x
  2. Step 2: Convert to fraction form
    91,089/136,269 = 136,269/x
  3. Step 3: Cross multiply
    91,089x = 136,269 × 136,269
  4. Step 4: Simplify right side
    91,089x = 18,569,240,361
  5. Step 5: Solve for x
    x = 18,569,240,361/91,089
  6. Step 6: Final answer
    x = 203,858.21

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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.