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Finding the Third Proportional to 21.47 and 33.70

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Solution

The third proportional to 21.47 and 33.70 is: 52.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.47 : 33.70 = 33.70 : x
  2. Step 2: Convert to fraction form
    21.47/33.70 = 33.70/x
  3. Step 3: Cross multiply
    21.47x = 33.70 × 33.70
  4. Step 4: Simplify right side
    21.47x = 1,135.90
  5. Step 5: Solve for x
    x = 1,135.90/21.47
  6. Step 6: Final answer
    x = 52.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.