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Finding the Third Proportional to 82,479 and 176,622

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Solution

The third proportional to 82,479 and 176,622 is: 378,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,479 : 176,622 = 176,622 : x
  2. Step 2: Convert to fraction form
    82,479/176,622 = 176,622/x
  3. Step 3: Cross multiply
    82,479x = 176,622 × 176,622
  4. Step 4: Simplify right side
    82,479x = 31,195,330,884
  5. Step 5: Solve for x
    x = 31,195,330,884/82,479
  6. Step 6: Final answer
    x = 378,221.50

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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.