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Finding the Third Proportional to 11.55 and 17.95

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Solution

The third proportional to 11.55 and 17.95 is: 27.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.55 : 17.95 = 17.95 : x
  2. Step 2: Convert to fraction form
    11.55/17.95 = 17.95/x
  3. Step 3: Cross multiply
    11.55x = 17.95 × 17.95
  4. Step 4: Simplify right side
    11.55x = 322.31
  5. Step 5: Solve for x
    x = 322.31/11.55
  6. Step 6: Final answer
    x = 27.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.