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Finding the Third Proportional to 13.28 and 27.86

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Solution

The third proportional to 13.28 and 27.86 is: 58.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.28 : 27.86 = 27.86 : x
  2. Step 2: Convert to fraction form
    13.28/27.86 = 27.86/x
  3. Step 3: Cross multiply
    13.28x = 27.86 × 27.86
  4. Step 4: Simplify right side
    13.28x = 776.17
  5. Step 5: Solve for x
    x = 776.17/13.28
  6. Step 6: Final answer
    x = 58.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.