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Finding the Third Proportional to 68.75 and 74.56

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Solution

The third proportional to 68.75 and 74.56 is: 80.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.75 : 74.56 = 74.56 : x
  2. Step 2: Convert to fraction form
    68.75/74.56 = 74.56/x
  3. Step 3: Cross multiply
    68.75x = 74.56 × 74.56
  4. Step 4: Simplify right side
    68.75x = 5,559.57
  5. Step 5: Solve for x
    x = 5,559.57/68.75
  6. Step 6: Final answer
    x = 80.87

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.