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Finding the Third Proportional to 153.38 and 204.38

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Solution

The third proportional to 153.38 and 204.38 is: 272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.38 : 204.38 = 204.38 : x
  2. Step 2: Convert to fraction form
    153.38/204.38 = 204.38/x
  3. Step 3: Cross multiply
    153.38x = 204.38 × 204.38
  4. Step 4: Simplify right side
    153.38x = 41,769.14
  5. Step 5: Solve for x
    x = 41,769.14/153.38
  6. Step 6: Final answer
    x = 272.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.