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Finding the Third Proportional to 23.39 and 33.40

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Solution

The third proportional to 23.39 and 33.40 is: 47.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.39 : 33.40 = 33.40 : x
  2. Step 2: Convert to fraction form
    23.39/33.40 = 33.40/x
  3. Step 3: Cross multiply
    23.39x = 33.40 × 33.40
  4. Step 4: Simplify right side
    23.39x = 1,115.46
  5. Step 5: Solve for x
    x = 1,115.46/23.39
  6. Step 6: Final answer
    x = 47.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.