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Finding the Third Proportional to 82,255 and 179,387

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Solution

The third proportional to 82,255 and 179,387 is: 391,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,255 : 179,387 = 179,387 : x
  2. Step 2: Convert to fraction form
    82,255/179,387 = 179,387/x
  3. Step 3: Cross multiply
    82,255x = 179,387 × 179,387
  4. Step 4: Simplify right side
    82,255x = 32,179,695,769
  5. Step 5: Solve for x
    x = 32,179,695,769/82,255
  6. Step 6: Final answer
    x = 391,218.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.