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Finding the Third Proportional to 4.35 and 7.47

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Solution

The third proportional to 4.35 and 7.47 is: 12.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.35 : 7.47 = 7.47 : x
  2. Step 2: Convert to fraction form
    4.35/7.47 = 7.47/x
  3. Step 3: Cross multiply
    4.35x = 7.47 × 7.47
  4. Step 4: Simplify right side
    4.35x = 55.73
  5. Step 5: Solve for x
    x = 55.73/4.35
  6. Step 6: Final answer
    x = 12.81

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.