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Finding the Third Proportional to 31.08 and 46.62

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Solution

The third proportional to 31.08 and 46.62 is: 69.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.08 : 46.62 = 46.62 : x
  2. Step 2: Convert to fraction form
    31.08/46.62 = 46.62/x
  3. Step 3: Cross multiply
    31.08x = 46.62 × 46.62
  4. Step 4: Simplify right side
    31.08x = 2,173.16
  5. Step 5: Solve for x
    x = 2,173.16/31.08
  6. Step 6: Final answer
    x = 69.93

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.