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Finding the Third Proportional to 7.55 and 14.73

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Solution

The third proportional to 7.55 and 14.73 is: 28.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.55 : 14.73 = 14.73 : x
  2. Step 2: Convert to fraction form
    7.55/14.73 = 14.73/x
  3. Step 3: Cross multiply
    7.55x = 14.73 × 14.73
  4. Step 4: Simplify right side
    7.55x = 216.99
  5. Step 5: Solve for x
    x = 216.99/7.55
  6. Step 6: Final answer
    x = 28.73

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.