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Finding the Third Proportional to 78.88 and 112.92

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Solution

The third proportional to 78.88 and 112.92 is: 161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.88 : 112.92 = 112.92 : x
  2. Step 2: Convert to fraction form
    78.88/112.92 = 112.92/x
  3. Step 3: Cross multiply
    78.88x = 112.92 × 112.92
  4. Step 4: Simplify right side
    78.88x = 12,750.36
  5. Step 5: Solve for x
    x = 12,750.36/78.88
  6. Step 6: Final answer
    x = 161.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.