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Finding the Third Proportional to 80,789 and 176,266

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Solution

The third proportional to 80,789 and 176,266 is: 384,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,789 : 176,266 = 176,266 : x
  2. Step 2: Convert to fraction form
    80,789/176,266 = 176,266/x
  3. Step 3: Cross multiply
    80,789x = 176,266 × 176,266
  4. Step 4: Simplify right side
    80,789x = 31,069,702,756
  5. Step 5: Solve for x
    x = 31,069,702,756/80,789
  6. Step 6: Final answer
    x = 384,578.38

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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.