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Finding the Third Proportional to 81,812 and 175,279

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Solution

The third proportional to 81,812 and 175,279 is: 375,528.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,812 : 175,279 = 175,279 : x
  2. Step 2: Convert to fraction form
    81,812/175,279 = 175,279/x
  3. Step 3: Cross multiply
    81,812x = 175,279 × 175,279
  4. Step 4: Simplify right side
    81,812x = 30,722,727,841
  5. Step 5: Solve for x
    x = 30,722,727,841/81,812
  6. Step 6: Final answer
    x = 375,528.38

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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.