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Finding the Third Proportional to 80,445 and 176,751

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Solution

The third proportional to 80,445 and 176,751 is: 388,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,445 : 176,751 = 176,751 : x
  2. Step 2: Convert to fraction form
    80,445/176,751 = 176,751/x
  3. Step 3: Cross multiply
    80,445x = 176,751 × 176,751
  4. Step 4: Simplify right side
    80,445x = 31,240,916,001
  5. Step 5: Solve for x
    x = 31,240,916,001/80,445
  6. Step 6: Final answer
    x = 388,351.25

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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.