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Finding the Third Proportional to 31.20 and 46.58

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Solution

The third proportional to 31.20 and 46.58 is: 69.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.20 : 46.58 = 46.58 : x
  2. Step 2: Convert to fraction form
    31.20/46.58 = 46.58/x
  3. Step 3: Cross multiply
    31.20x = 46.58 × 46.58
  4. Step 4: Simplify right side
    31.20x = 2,169.52
  5. Step 5: Solve for x
    x = 2,169.52/31.20
  6. Step 6: Final answer
    x = 69.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.