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Finding the Third Proportional to 81,350 and 149,200

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Solution

The third proportional to 81,350 and 149,200 is: 273,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,350 : 149,200 = 149,200 : x
  2. Step 2: Convert to fraction form
    81,350/149,200 = 149,200/x
  3. Step 3: Cross multiply
    81,350x = 149,200 × 149,200
  4. Step 4: Simplify right side
    81,350x = 22,260,640,000
  5. Step 5: Solve for x
    x = 22,260,640,000/81,350
  6. Step 6: Final answer
    x = 273,640.32

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.