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Finding the Third Proportional to 91,240 and 136,481

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Solution

The third proportional to 91,240 and 136,481 is: 204,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,240 : 136,481 = 136,481 : x
  2. Step 2: Convert to fraction form
    91,240/136,481 = 136,481/x
  3. Step 3: Cross multiply
    91,240x = 136,481 × 136,481
  4. Step 4: Simplify right side
    91,240x = 18,627,063,361
  5. Step 5: Solve for x
    x = 18,627,063,361/91,240
  6. Step 6: Final answer
    x = 204,154.57

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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.