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Finding the Third Proportional to 102.13 and 156.19

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Solution

The third proportional to 102.13 and 156.19 is: 238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.13 : 156.19 = 156.19 : x
  2. Step 2: Convert to fraction form
    102.13/156.19 = 156.19/x
  3. Step 3: Cross multiply
    102.13x = 156.19 × 156.19
  4. Step 4: Simplify right side
    102.13x = 24,394.54
  5. Step 5: Solve for x
    x = 24,394.54/102.13
  6. Step 6: Final answer
    x = 238.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.