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Finding the Third Proportional to 82,172 and 177,439

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Solution

The third proportional to 82,172 and 177,439 is: 383,154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,172 : 177,439 = 177,439 : x
  2. Step 2: Convert to fraction form
    82,172/177,439 = 177,439/x
  3. Step 3: Cross multiply
    82,172x = 177,439 × 177,439
  4. Step 4: Simplify right side
    82,172x = 31,484,598,721
  5. Step 5: Solve for x
    x = 31,484,598,721/82,172
  6. Step 6: Final answer
    x = 383,154.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.