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Finding the Third Proportional to 81,340 and 149,180

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Solution

The third proportional to 81,340 and 149,180 is: 273,600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,340 : 149,180 = 149,180 : x
  2. Step 2: Convert to fraction form
    81,340/149,180 = 149,180/x
  3. Step 3: Cross multiply
    81,340x = 149,180 × 149,180
  4. Step 4: Simplify right side
    81,340x = 22,254,672,400
  5. Step 5: Solve for x
    x = 22,254,672,400/81,340
  6. Step 6: Final answer
    x = 273,600.60

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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.