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Finding the Third Proportional to 81,868 and 129,390

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Solution

The third proportional to 81,868 and 129,390 is: 204,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,868 : 129,390 = 129,390 : x
  2. Step 2: Convert to fraction form
    81,868/129,390 = 129,390/x
  3. Step 3: Cross multiply
    81,868x = 129,390 × 129,390
  4. Step 4: Simplify right side
    81,868x = 16,741,772,100
  5. Step 5: Solve for x
    x = 16,741,772,100/81,868
  6. Step 6: Final answer
    x = 204,497.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.