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Finding the Third Proportional to 68.25 and 112.88

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Solution

The third proportional to 68.25 and 112.88 is: 186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.25 : 112.88 = 112.88 : x
  2. Step 2: Convert to fraction form
    68.25/112.88 = 112.88/x
  3. Step 3: Cross multiply
    68.25x = 112.88 × 112.88
  4. Step 4: Simplify right side
    68.25x = 12,740.77
  5. Step 5: Solve for x
    x = 12,740.77/68.25
  6. Step 6: Final answer
    x = 186.68

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.