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Finding the Third Proportional to 5,391.50 and 8,178.25

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Solution

The third proportional to 5,391.50 and 8,178.25 is: 12,405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,391.50 : 8,178.25 = 8,178.25 : x
  2. Step 2: Convert to fraction form
    5,391.50/8,178.25 = 8,178.25/x
  3. Step 3: Cross multiply
    5,391.50x = 8,178.25 × 8,178.25
  4. Step 4: Simplify right side
    5,391.50x = 66,883,773.06
  5. Step 5: Solve for x
    x = 66,883,773.06/5,391.50
  6. Step 6: Final answer
    x = 12,405.41

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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.