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Finding the Third Proportional to 161.13 and 239.38

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Solution

The third proportional to 161.13 and 239.38 is: 355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.13 : 239.38 = 239.38 : x
  2. Step 2: Convert to fraction form
    161.13/239.38 = 239.38/x
  3. Step 3: Cross multiply
    161.13x = 239.38 × 239.38
  4. Step 4: Simplify right side
    161.13x = 57,300.39
  5. Step 5: Solve for x
    x = 57,300.39/161.13
  6. Step 6: Final answer
    x = 355.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.