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Finding the Third Proportional to 80,685 and 176,922

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Solution

The third proportional to 80,685 and 176,922 is: 387,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,685 : 176,922 = 176,922 : x
  2. Step 2: Convert to fraction form
    80,685/176,922 = 176,922/x
  3. Step 3: Cross multiply
    80,685x = 176,922 × 176,922
  4. Step 4: Simplify right side
    80,685x = 31,301,394,084
  5. Step 5: Solve for x
    x = 31,301,394,084/80,685
  6. Step 6: Final answer
    x = 387,945.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.