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Finding the Third Proportional to 80,812 and 176,312

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Solution

The third proportional to 80,812 and 176,312 is: 384,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,812 : 176,312 = 176,312 : x
  2. Step 2: Convert to fraction form
    80,812/176,312 = 176,312/x
  3. Step 3: Cross multiply
    80,812x = 176,312 × 176,312
  4. Step 4: Simplify right side
    80,812x = 31,085,921,344
  5. Step 5: Solve for x
    x = 31,085,921,344/80,812
  6. Step 6: Final answer
    x = 384,669.62

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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.