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Finding the Third Proportional to 68.87 and 110.72

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Solution

The third proportional to 68.87 and 110.72 is: 178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.87 : 110.72 = 110.72 : x
  2. Step 2: Convert to fraction form
    68.87/110.72 = 110.72/x
  3. Step 3: Cross multiply
    68.87x = 110.72 × 110.72
  4. Step 4: Simplify right side
    68.87x = 12,259.94
  5. Step 5: Solve for x
    x = 12,259.94/68.87
  6. Step 6: Final answer
    x = 178.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.