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Finding the Third Proportional to 81,559 and 179,674

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Solution

The third proportional to 81,559 and 179,674 is: 395,820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,559 : 179,674 = 179,674 : x
  2. Step 2: Convert to fraction form
    81,559/179,674 = 179,674/x
  3. Step 3: Cross multiply
    81,559x = 179,674 × 179,674
  4. Step 4: Simplify right side
    81,559x = 32,282,746,276
  5. Step 5: Solve for x
    x = 32,282,746,276/81,559
  6. Step 6: Final answer
    x = 395,820.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.