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Finding the Third Proportional to 81,498 and 121,380

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Solution

The third proportional to 81,498 and 121,380 is: 180,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,498 : 121,380 = 121,380 : x
  2. Step 2: Convert to fraction form
    81,498/121,380 = 121,380/x
  3. Step 3: Cross multiply
    81,498x = 121,380 × 121,380
  4. Step 4: Simplify right side
    81,498x = 14,733,104,400
  5. Step 5: Solve for x
    x = 14,733,104,400/81,498
  6. Step 6: Final answer
    x = 180,778.72

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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.