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Finding the Third Proportional to 80,514 and 174,879

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Solution

The third proportional to 80,514 and 174,879 is: 379,842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,514 : 174,879 = 174,879 : x
  2. Step 2: Convert to fraction form
    80,514/174,879 = 174,879/x
  3. Step 3: Cross multiply
    80,514x = 174,879 × 174,879
  4. Step 4: Simplify right side
    80,514x = 30,582,664,641
  5. Step 5: Solve for x
    x = 30,582,664,641/80,514
  6. Step 6: Final answer
    x = 379,842.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.