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Finding the Third Proportional to 80,919 and 176,661

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Solution

The third proportional to 80,919 and 176,661 is: 385,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,919 : 176,661 = 176,661 : x
  2. Step 2: Convert to fraction form
    80,919/176,661 = 176,661/x
  3. Step 3: Cross multiply
    80,919x = 176,661 × 176,661
  4. Step 4: Simplify right side
    80,919x = 31,209,108,921
  5. Step 5: Solve for x
    x = 31,209,108,921/80,919
  6. Step 6: Final answer
    x = 385,683.32

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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.