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Finding the Third Proportional to 78 and 110.88

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Solution

The third proportional to 78 and 110.88 is: 157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 110.88 = 110.88 : x
  2. Step 2: Convert to fraction form
    78/110.88 = 110.88/x
  3. Step 3: Cross multiply
    78x = 110.88 × 110.88
  4. Step 4: Simplify right side
    78x = 12,293.27
  5. Step 5: Solve for x
    x = 12,293.27/78
  6. Step 6: Final answer
    x = 157.61

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.