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Finding the Third Proportional to 5,190 and 6,757.50

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Solution

The third proportional to 5,190 and 6,757.50 is: 8,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190 : 6,757.50 = 6,757.50 : x
  2. Step 2: Convert to fraction form
    5,190/6,757.50 = 6,757.50/x
  3. Step 3: Cross multiply
    5,190x = 6,757.50 × 6,757.50
  4. Step 4: Simplify right side
    5,190x = 45,663,806.25
  5. Step 5: Solve for x
    x = 45,663,806.25/5,190
  6. Step 6: Final answer
    x = 8,798.42

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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.