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Finding the Third Proportional to 11.56 and 16.57

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Solution

The third proportional to 11.56 and 16.57 is: 23.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.56 : 16.57 = 16.57 : x
  2. Step 2: Convert to fraction form
    11.56/16.57 = 16.57/x
  3. Step 3: Cross multiply
    11.56x = 16.57 × 16.57
  4. Step 4: Simplify right side
    11.56x = 274.50
  5. Step 5: Solve for x
    x = 274.50/11.56
  6. Step 6: Final answer
    x = 23.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.