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Finding the Third Proportional to 95,013 and 133,616.25

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Solution

The third proportional to 95,013 and 133,616.25 is: 187,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,013 : 133,616.25 = 133,616.25 : x
  2. Step 2: Convert to fraction form
    95,013/133,616.25 = 133,616.25/x
  3. Step 3: Cross multiply
    95,013x = 133,616.25 × 133,616.25
  4. Step 4: Simplify right side
    95,013x = 17,853,302,264.06
  5. Step 5: Solve for x
    x = 17,853,302,264.06/95,013
  6. Step 6: Final answer
    x = 187,903.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.