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Finding the Third Proportional to 5.19 and 10.65

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Solution

The third proportional to 5.19 and 10.65 is: 21.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.19 : 10.65 = 10.65 : x
  2. Step 2: Convert to fraction form
    5.19/10.65 = 10.65/x
  3. Step 3: Cross multiply
    5.19x = 10.65 × 10.65
  4. Step 4: Simplify right side
    5.19x = 113.40
  5. Step 5: Solve for x
    x = 113.40/5.19
  6. Step 6: Final answer
    x = 21.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.