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Finding the Third Proportional to 102.13 and 158.13

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Solution

The third proportional to 102.13 and 158.13 is: 244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.13 : 158.13 = 158.13 : x
  2. Step 2: Convert to fraction form
    102.13/158.13 = 158.13/x
  3. Step 3: Cross multiply
    102.13x = 158.13 × 158.13
  4. Step 4: Simplify right side
    102.13x = 25,003.52
  5. Step 5: Solve for x
    x = 25,003.52/102.13
  6. Step 6: Final answer
    x = 244.83

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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.