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Finding the Third Proportional to 80,488 and 176,912

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Solution

The third proportional to 80,488 and 176,912 is: 388,851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,488 : 176,912 = 176,912 : x
  2. Step 2: Convert to fraction form
    80,488/176,912 = 176,912/x
  3. Step 3: Cross multiply
    80,488x = 176,912 × 176,912
  4. Step 4: Simplify right side
    80,488x = 31,297,855,744
  5. Step 5: Solve for x
    x = 31,297,855,744/80,488
  6. Step 6: Final answer
    x = 388,851.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.