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Finding the Third Proportional to 78 and 96.75

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Solution

The third proportional to 78 and 96.75 is: 120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 96.75 = 96.75 : x
  2. Step 2: Convert to fraction form
    78/96.75 = 96.75/x
  3. Step 3: Cross multiply
    78x = 96.75 × 96.75
  4. Step 4: Simplify right side
    78x = 9,360.56
  5. Step 5: Solve for x
    x = 9,360.56/78
  6. Step 6: Final answer
    x = 120.01

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.