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Finding the Third Proportional to 81,801 and 175,257

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Solution

The third proportional to 81,801 and 175,257 is: 375,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,801 : 175,257 = 175,257 : x
  2. Step 2: Convert to fraction form
    81,801/175,257 = 175,257/x
  3. Step 3: Cross multiply
    81,801x = 175,257 × 175,257
  4. Step 4: Simplify right side
    81,801x = 30,715,016,049
  5. Step 5: Solve for x
    x = 30,715,016,049/81,801
  6. Step 6: Final answer
    x = 375,484.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.