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Finding the Third Proportional to 80,792 and 172,815

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Solution

The third proportional to 80,792 and 172,815 is: 369,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,792 : 172,815 = 172,815 : x
  2. Step 2: Convert to fraction form
    80,792/172,815 = 172,815/x
  3. Step 3: Cross multiply
    80,792x = 172,815 × 172,815
  4. Step 4: Simplify right side
    80,792x = 29,865,024,225
  5. Step 5: Solve for x
    x = 29,865,024,225/80,792
  6. Step 6: Final answer
    x = 369,653.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.