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Finding the Third Proportional to 31.57 and 48.20

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Solution

The third proportional to 31.57 and 48.20 is: 73.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.57 : 48.20 = 48.20 : x
  2. Step 2: Convert to fraction form
    31.57/48.20 = 48.20/x
  3. Step 3: Cross multiply
    31.57x = 48.20 × 48.20
  4. Step 4: Simplify right side
    31.57x = 2,323.16
  5. Step 5: Solve for x
    x = 2,323.16/31.57
  6. Step 6: Final answer
    x = 73.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.