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Finding the Third Proportional to 38,800 and 84,320

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Solution

The third proportional to 38,800 and 84,320 is: 183,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,800 : 84,320 = 84,320 : x
  2. Step 2: Convert to fraction form
    38,800/84,320 = 84,320/x
  3. Step 3: Cross multiply
    38,800x = 84,320 × 84,320
  4. Step 4: Simplify right side
    38,800x = 7,109,862,400
  5. Step 5: Solve for x
    x = 7,109,862,400/38,800
  6. Step 6: Final answer
    x = 183,243.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.