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Finding the Third Proportional to 81,812 and 179,239

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Solution

The third proportional to 81,812 and 179,239 is: 392,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,812 : 179,239 = 179,239 : x
  2. Step 2: Convert to fraction form
    81,812/179,239 = 179,239/x
  3. Step 3: Cross multiply
    81,812x = 179,239 × 179,239
  4. Step 4: Simplify right side
    81,812x = 32,126,619,121
  5. Step 5: Solve for x
    x = 32,126,619,121/81,812
  6. Step 6: Final answer
    x = 392,688.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.