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Finding the Third Proportional to 31.30 and 43.74

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Solution

The third proportional to 31.30 and 43.74 is: 61.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.30 : 43.74 = 43.74 : x
  2. Step 2: Convert to fraction form
    31.30/43.74 = 43.74/x
  3. Step 3: Cross multiply
    31.30x = 43.74 × 43.74
  4. Step 4: Simplify right side
    31.30x = 1,913.23
  5. Step 5: Solve for x
    x = 1,913.23/31.30
  6. Step 6: Final answer
    x = 61.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.