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Finding the Third Proportional to 0.09 and 1.08

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Solution

The third proportional to 0.09 and 1.08 is: 12.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.09 : 1.08 = 1.08 : x
  2. Step 2: Convert to fraction form
    0.09/1.08 = 1.08/x
  3. Step 3: Cross multiply
    0.09x = 1.08 × 1.08
  4. Step 4: Simplify right side
    0.09x = 1.16
  5. Step 5: Solve for x
    x = 1.16/0.09
  6. Step 6: Final answer
    x = 12.40

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Why These Related Problems?

These problems maintain the same ratio (11.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.