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Finding the Third Proportional to 38,281 and 81,200

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Solution

The third proportional to 38,281 and 81,200 is: 172,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,281 : 81,200 = 81,200 : x
  2. Step 2: Convert to fraction form
    38,281/81,200 = 81,200/x
  3. Step 3: Cross multiply
    38,281x = 81,200 × 81,200
  4. Step 4: Simplify right side
    38,281x = 6,593,440,000
  5. Step 5: Solve for x
    x = 6,593,440,000/38,281
  6. Step 6: Final answer
    x = 172,237.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.