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Finding the Third Proportional to 4.55 and 7.27

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Solution

The third proportional to 4.55 and 7.27 is: 11.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.55 : 7.27 = 7.27 : x
  2. Step 2: Convert to fraction form
    4.55/7.27 = 7.27/x
  3. Step 3: Cross multiply
    4.55x = 7.27 × 7.27
  4. Step 4: Simplify right side
    4.55x = 52.79
  5. Step 5: Solve for x
    x = 52.79/4.55
  6. Step 6: Final answer
    x = 11.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.