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Finding the Third Proportional to 76.13 and 102.80

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Solution

The third proportional to 76.13 and 102.80 is: 138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.13 : 102.80 = 102.80 : x
  2. Step 2: Convert to fraction form
    76.13/102.80 = 102.80/x
  3. Step 3: Cross multiply
    76.13x = 102.80 × 102.80
  4. Step 4: Simplify right side
    76.13x = 10,567.20
  5. Step 5: Solve for x
    x = 10,567.20/76.13
  6. Step 6: Final answer
    x = 138.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.