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Finding the Third Proportional to 9 and 10.59

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Solution

The third proportional to 9 and 10.59 is: 12.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9 : 10.59 = 10.59 : x
  2. Step 2: Convert to fraction form
    9/10.59 = 10.59/x
  3. Step 3: Cross multiply
    9x = 10.59 × 10.59
  4. Step 4: Simplify right side
    9x = 112.23
  5. Step 5: Solve for x
    x = 112.23/9
  6. Step 6: Final answer
    x = 12.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.