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Finding the Third Proportional to 7.09 and 15.43

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Solution

The third proportional to 7.09 and 15.43 is: 33.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.09 : 15.43 = 15.43 : x
  2. Step 2: Convert to fraction form
    7.09/15.43 = 15.43/x
  3. Step 3: Cross multiply
    7.09x = 15.43 × 15.43
  4. Step 4: Simplify right side
    7.09x = 238.13
  5. Step 5: Solve for x
    x = 238.13/7.09
  6. Step 6: Final answer
    x = 33.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.