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Finding the Third Proportional to 80,859 and 176,550

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Solution

The third proportional to 80,859 and 176,550 is: 385,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,859 : 176,550 = 176,550 : x
  2. Step 2: Convert to fraction form
    80,859/176,550 = 176,550/x
  3. Step 3: Cross multiply
    80,859x = 176,550 × 176,550
  4. Step 4: Simplify right side
    80,859x = 31,169,902,500
  5. Step 5: Solve for x
    x = 31,169,902,500/80,859
  6. Step 6: Final answer
    x = 385,484.64

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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.