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Finding the Third Proportional to 31.22 and 43.45

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Solution

The third proportional to 31.22 and 43.45 is: 60.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.22 : 43.45 = 43.45 : x
  2. Step 2: Convert to fraction form
    31.22/43.45 = 43.45/x
  3. Step 3: Cross multiply
    31.22x = 43.45 × 43.45
  4. Step 4: Simplify right side
    31.22x = 1,888.17
  5. Step 5: Solve for x
    x = 1,888.17/31.22
  6. Step 6: Final answer
    x = 60.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.