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Finding the Third Proportional to 5,378.45 and 11,650.43

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Solution

The third proportional to 5,378.45 and 11,650.43 is: 25,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.45 : 11,650.43 = 11,650.43 : x
  2. Step 2: Convert to fraction form
    5,378.45/11,650.43 = 11,650.43/x
  3. Step 3: Cross multiply
    5,378.45x = 11,650.43 × 11,650.43
  4. Step 4: Simplify right side
    5,378.45x = 135,732,511.90
  5. Step 5: Solve for x
    x = 135,732,511.90/5,378.45
  6. Step 6: Final answer
    x = 25,236.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.