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Finding the Third Proportional to 80,376 and 180,520

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Solution

The third proportional to 80,376 and 180,520 is: 405,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,376 : 180,520 = 180,520 : x
  2. Step 2: Convert to fraction form
    80,376/180,520 = 180,520/x
  3. Step 3: Cross multiply
    80,376x = 180,520 × 180,520
  4. Step 4: Simplify right side
    80,376x = 32,587,470,400
  5. Step 5: Solve for x
    x = 32,587,470,400/80,376
  6. Step 6: Final answer
    x = 405,437.82

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.