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Finding the Third Proportional to 6,378.75 and 13,729.50

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Solution

The third proportional to 6,378.75 and 13,729.50 is: 29,551.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.75 : 13,729.50 = 13,729.50 : x
  2. Step 2: Convert to fraction form
    6,378.75/13,729.50 = 13,729.50/x
  3. Step 3: Cross multiply
    6,378.75x = 13,729.50 × 13,729.50
  4. Step 4: Simplify right side
    6,378.75x = 188,499,170.25
  5. Step 5: Solve for x
    x = 188,499,170.25/6,378.75
  6. Step 6: Final answer
    x = 29,551.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.