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Finding the Third Proportional to 6,378.75 and 15,481.13

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Solution

The third proportional to 6,378.75 and 15,481.13 is: 37,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.75 : 15,481.13 = 15,481.13 : x
  2. Step 2: Convert to fraction form
    6,378.75/15,481.13 = 15,481.13/x
  3. Step 3: Cross multiply
    6,378.75x = 15,481.13 × 15,481.13
  4. Step 4: Simplify right side
    6,378.75x = 239,665,231.27
  5. Step 5: Solve for x
    x = 239,665,231.27/6,378.75
  6. Step 6: Final answer
    x = 37,572.44

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.