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Finding the Third Proportional to 7.52 and 17.46

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Solution

The third proportional to 7.52 and 17.46 is: 40.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.52 : 17.46 = 17.46 : x
  2. Step 2: Convert to fraction form
    7.52/17.46 = 17.46/x
  3. Step 3: Cross multiply
    7.52x = 17.46 × 17.46
  4. Step 4: Simplify right side
    7.52x = 304.68
  5. Step 5: Solve for x
    x = 304.68/7.52
  6. Step 6: Final answer
    x = 40.50

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.