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Finding the Third Proportional to 78 and 114.75

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Solution

The third proportional to 78 and 114.75 is: 168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 114.75 = 114.75 : x
  2. Step 2: Convert to fraction form
    78/114.75 = 114.75/x
  3. Step 3: Cross multiply
    78x = 114.75 × 114.75
  4. Step 4: Simplify right side
    78x = 13,167.56
  5. Step 5: Solve for x
    x = 13,167.56/78
  6. Step 6: Final answer
    x = 168.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.