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Finding the Third Proportional to 80,868 and 172,824

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Solution

The third proportional to 80,868 and 172,824 is: 369,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,868 : 172,824 = 172,824 : x
  2. Step 2: Convert to fraction form
    80,868/172,824 = 172,824/x
  3. Step 3: Cross multiply
    80,868x = 172,824 × 172,824
  4. Step 4: Simplify right side
    80,868x = 29,868,134,976
  5. Step 5: Solve for x
    x = 29,868,134,976/80,868
  6. Step 6: Final answer
    x = 369,344.30

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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.