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Finding the Third Proportional to 11.50 and 28

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Solution

The third proportional to 11.50 and 28 is: 68.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.50 : 28 = 28 : x
  2. Step 2: Convert to fraction form
    11.50/28 = 28/x
  3. Step 3: Cross multiply
    11.50x = 28 × 28
  4. Step 4: Simplify right side
    11.50x = 784
  5. Step 5: Solve for x
    x = 784/11.50
  6. Step 6: Final answer
    x = 68.17

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.