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Finding the Third Proportional to 78.75 and 95.38

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Solution

The third proportional to 78.75 and 95.38 is: 115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.75 : 95.38 = 95.38 : x
  2. Step 2: Convert to fraction form
    78.75/95.38 = 95.38/x
  3. Step 3: Cross multiply
    78.75x = 95.38 × 95.38
  4. Step 4: Simplify right side
    78.75x = 9,096.39
  5. Step 5: Solve for x
    x = 9,096.39/78.75
  6. Step 6: Final answer
    x = 115.51

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.