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Finding the Third Proportional to 86,612 and 177,320

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Solution

The third proportional to 86,612 and 177,320 is: 363,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,612 : 177,320 = 177,320 : x
  2. Step 2: Convert to fraction form
    86,612/177,320 = 177,320/x
  3. Step 3: Cross multiply
    86,612x = 177,320 × 177,320
  4. Step 4: Simplify right side
    86,612x = 31,442,382,400
  5. Step 5: Solve for x
    x = 31,442,382,400/86,612
  6. Step 6: Final answer
    x = 363,025.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.