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Finding the Third Proportional to 5,314.78 and 6,912.84

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Solution

The third proportional to 5,314.78 and 6,912.84 is: 8,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.78 : 6,912.84 = 6,912.84 : x
  2. Step 2: Convert to fraction form
    5,314.78/6,912.84 = 6,912.84/x
  3. Step 3: Cross multiply
    5,314.78x = 6,912.84 × 6,912.84
  4. Step 4: Simplify right side
    5,314.78x = 47,787,408.71
  5. Step 5: Solve for x
    x = 47,787,408.71/5,314.78
  6. Step 6: Final answer
    x = 8,991.42

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.