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Finding the Third Proportional to 65.38 and 144.13

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Solution

The third proportional to 65.38 and 144.13 is: 317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.38 : 144.13 = 144.13 : x
  2. Step 2: Convert to fraction form
    65.38/144.13 = 144.13/x
  3. Step 3: Cross multiply
    65.38x = 144.13 × 144.13
  4. Step 4: Simplify right side
    65.38x = 20,772.02
  5. Step 5: Solve for x
    x = 20,772.02/65.38
  6. Step 6: Final answer
    x = 317.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.