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Finding the Third Proportional to 78.15 and 110.74

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Solution

The third proportional to 78.15 and 110.74 is: 156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.15 : 110.74 = 110.74 : x
  2. Step 2: Convert to fraction form
    78.15/110.74 = 110.74/x
  3. Step 3: Cross multiply
    78.15x = 110.74 × 110.74
  4. Step 4: Simplify right side
    78.15x = 12,263.83
  5. Step 5: Solve for x
    x = 12,263.83/78.15
  6. Step 6: Final answer
    x = 156.92

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Why These Related Problems?

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