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Finding the Third Proportional to 81,131 and 177,531

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Solution

The third proportional to 81,131 and 177,531 is: 388,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,131 : 177,531 = 177,531 : x
  2. Step 2: Convert to fraction form
    81,131/177,531 = 177,531/x
  3. Step 3: Cross multiply
    81,131x = 177,531 × 177,531
  4. Step 4: Simplify right side
    81,131x = 31,517,255,961
  5. Step 5: Solve for x
    x = 31,517,255,961/81,131
  6. Step 6: Final answer
    x = 388,473.65

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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.