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Finding the Third Proportional to 165.38 and 256.08

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Solution

The third proportional to 165.38 and 256.08 is: 396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.38 : 256.08 = 256.08 : x
  2. Step 2: Convert to fraction form
    165.38/256.08 = 256.08/x
  3. Step 3: Cross multiply
    165.38x = 256.08 × 256.08
  4. Step 4: Simplify right side
    165.38x = 65,576.01
  5. Step 5: Solve for x
    x = 65,576.01/165.38
  6. Step 6: Final answer
    x = 396.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.