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Finding the Third Proportional to 31.31 and 48.47

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Solution

The third proportional to 31.31 and 48.47 is: 75.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.31 : 48.47 = 48.47 : x
  2. Step 2: Convert to fraction form
    31.31/48.47 = 48.47/x
  3. Step 3: Cross multiply
    31.31x = 48.47 × 48.47
  4. Step 4: Simplify right side
    31.31x = 2,349.22
  5. Step 5: Solve for x
    x = 2,349.22/31.31
  6. Step 6: Final answer
    x = 75.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.