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Finding the Third Proportional to 83,936.25 and 129,969

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Solution

The third proportional to 83,936.25 and 129,969 is: 201,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,936.25 : 129,969 = 129,969 : x
  2. Step 2: Convert to fraction form
    83,936.25/129,969 = 129,969/x
  3. Step 3: Cross multiply
    83,936.25x = 129,969 × 129,969
  4. Step 4: Simplify right side
    83,936.25x = 16,891,940,961
  5. Step 5: Solve for x
    x = 16,891,940,961/83,936.25
  6. Step 6: Final answer
    x = 201,247.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.