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Finding the Third Proportional to 31 and 45.50

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Solution

The third proportional to 31 and 45.50 is: 66.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 45.50 = 45.50 : x
  2. Step 2: Convert to fraction form
    31/45.50 = 45.50/x
  3. Step 3: Cross multiply
    31x = 45.50 × 45.50
  4. Step 4: Simplify right side
    31x = 2,070.25
  5. Step 5: Solve for x
    x = 2,070.25/31
  6. Step 6: Final answer
    x = 66.78

Related Problems

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Half scale
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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 (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.