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Finding the Third Proportional to 32.43 and 49.20

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Solution

The third proportional to 32.43 and 49.20 is: 74.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.43 : 49.20 = 49.20 : x
  2. Step 2: Convert to fraction form
    32.43/49.20 = 49.20/x
  3. Step 3: Cross multiply
    32.43x = 49.20 × 49.20
  4. Step 4: Simplify right side
    32.43x = 2,420.76
  5. Step 5: Solve for x
    x = 2,420.76/32.43
  6. Step 6: Final answer
    x = 74.64

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