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Finding the Third Proportional to 7.51 and 12.51

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Solution

The third proportional to 7.51 and 12.51 is: 20.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.51 : 12.51 = 12.51 : x
  2. Step 2: Convert to fraction form
    7.51/12.51 = 12.51/x
  3. Step 3: Cross multiply
    7.51x = 12.51 × 12.51
  4. Step 4: Simplify right side
    7.51x = 156.55
  5. Step 5: Solve for x
    x = 156.55/7.51
  6. Step 6: Final answer
    x = 20.85

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.