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Finding the Third Proportional to 5.19 and 8.28

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Solution

The third proportional to 5.19 and 8.28 is: 13.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.19 : 8.28 = 8.28 : x
  2. Step 2: Convert to fraction form
    5.19/8.28 = 8.28/x
  3. Step 3: Cross multiply
    5.19x = 8.28 × 8.28
  4. Step 4: Simplify right side
    5.19x = 68.57
  5. Step 5: Solve for x
    x = 68.57/5.19
  6. Step 6: Final answer
    x = 13.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.