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Finding the Third Proportional to 15.59 and 34.24

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Solution

The third proportional to 15.59 and 34.24 is: 75.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.59 : 34.24 = 34.24 : x
  2. Step 2: Convert to fraction form
    15.59/34.24 = 34.24/x
  3. Step 3: Cross multiply
    15.59x = 34.24 × 34.24
  4. Step 4: Simplify right side
    15.59x = 1,172.68
  5. Step 5: Solve for x
    x = 1,172.68/15.59
  6. Step 6: Final answer
    x = 75.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.