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Finding the Third Proportional to 80,806 and 177,043

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Solution

The third proportional to 80,806 and 177,043 is: 387,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,806 : 177,043 = 177,043 : x
  2. Step 2: Convert to fraction form
    80,806/177,043 = 177,043/x
  3. Step 3: Cross multiply
    80,806x = 177,043 × 177,043
  4. Step 4: Simplify right side
    80,806x = 31,344,223,849
  5. Step 5: Solve for x
    x = 31,344,223,849/80,806
  6. Step 6: Final answer
    x = 387,894.76

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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.