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Finding the Third Proportional to 9.12 and 11.52

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Solution

The third proportional to 9.12 and 11.52 is: 14.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.12 : 11.52 = 11.52 : x
  2. Step 2: Convert to fraction form
    9.12/11.52 = 11.52/x
  3. Step 3: Cross multiply
    9.12x = 11.52 × 11.52
  4. Step 4: Simplify right side
    9.12x = 132.77
  5. Step 5: Solve for x
    x = 132.77/9.12
  6. Step 6: Final answer
    x = 14.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.