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Finding the Third Proportional to 5,378.06 and 8,176.78

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Solution

The third proportional to 5,378.06 and 8,176.78 is: 12,431.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.06 : 8,176.78 = 8,176.78 : x
  2. Step 2: Convert to fraction form
    5,378.06/8,176.78 = 8,176.78/x
  3. Step 3: Cross multiply
    5,378.06x = 8,176.78 × 8,176.78
  4. Step 4: Simplify right side
    5,378.06x = 66,859,751.61
  5. Step 5: Solve for x
    x = 66,859,751.61/5,378.06
  6. Step 6: Final answer
    x = 12,431.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.