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Finding the Third Proportional to 149.79 and 201.28

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Solution

The third proportional to 149.79 and 201.28 is: 270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.79 : 201.28 = 201.28 : x
  2. Step 2: Convert to fraction form
    149.79/201.28 = 201.28/x
  3. Step 3: Cross multiply
    149.79x = 201.28 × 201.28
  4. Step 4: Simplify right side
    149.79x = 40,514.14
  5. Step 5: Solve for x
    x = 40,514.14/149.79
  6. Step 6: Final answer
    x = 270.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.