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Finding the Third Proportional to 82,086 and 176,432

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Solution

The third proportional to 82,086 and 176,432 is: 379,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,086 : 176,432 = 176,432 : x
  2. Step 2: Convert to fraction form
    82,086/176,432 = 176,432/x
  3. Step 3: Cross multiply
    82,086x = 176,432 × 176,432
  4. Step 4: Simplify right side
    82,086x = 31,128,250,624
  5. Step 5: Solve for x
    x = 31,128,250,624/82,086
  6. Step 6: Final answer
    x = 379,215.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.