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Finding the Third Proportional to 7.62 and 17.52

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Solution

The third proportional to 7.62 and 17.52 is: 40.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.62 : 17.52 = 17.52 : x
  2. Step 2: Convert to fraction form
    7.62/17.52 = 17.52/x
  3. Step 3: Cross multiply
    7.62x = 17.52 × 17.52
  4. Step 4: Simplify right side
    7.62x = 307.02
  5. Step 5: Solve for x
    x = 307.02/7.62
  6. Step 6: Final answer
    x = 40.30

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.