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Finding the Third Proportional to 113.13 and 164.39

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Solution

The third proportional to 113.13 and 164.39 is: 238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.13 : 164.39 = 164.39 : x
  2. Step 2: Convert to fraction form
    113.13/164.39 = 164.39/x
  3. Step 3: Cross multiply
    113.13x = 164.39 × 164.39
  4. Step 4: Simplify right side
    113.13x = 27,024.28
  5. Step 5: Solve for x
    x = 27,024.28/113.13
  6. Step 6: Final answer
    x = 238.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.