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Finding the Third Proportional to 7.43 and 15.54

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Solution

The third proportional to 7.43 and 15.54 is: 32.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.43 : 15.54 = 15.54 : x
  2. Step 2: Convert to fraction form
    7.43/15.54 = 15.54/x
  3. Step 3: Cross multiply
    7.43x = 15.54 × 15.54
  4. Step 4: Simplify right side
    7.43x = 241.57
  5. Step 5: Solve for x
    x = 241.57/7.43
  6. Step 6: Final answer
    x = 32.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.