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Finding the Third Proportional to 5.19 and 5.81

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Solution

The third proportional to 5.19 and 5.81 is: 6.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.19 : 5.81 = 5.81 : x
  2. Step 2: Convert to fraction form
    5.19/5.81 = 5.81/x
  3. Step 3: Cross multiply
    5.19x = 5.81 × 5.81
  4. Step 4: Simplify right side
    5.19x = 33.71
  5. Step 5: Solve for x
    x = 33.71/5.19
  6. Step 6: Final answer
    x = 6.50

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.