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Finding the Third Proportional to 82,131 and 176,531.25

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Solution

The third proportional to 82,131 and 176,531.25 is: 379,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,131 : 176,531.25 = 176,531.25 : x
  2. Step 2: Convert to fraction form
    82,131/176,531.25 = 176,531.25/x
  3. Step 3: Cross multiply
    82,131x = 176,531.25 × 176,531.25
  4. Step 4: Simplify right side
    82,131x = 31,163,282,226.56
  5. Step 5: Solve for x
    x = 31,163,282,226.56/82,131
  6. Step 6: Final answer
    x = 379,433.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.