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Finding the Third Proportional to 3,640.78 and 8,887.22

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Solution

The third proportional to 3,640.78 and 8,887.22 is: 21,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.78 : 8,887.22 = 8,887.22 : x
  2. Step 2: Convert to fraction form
    3,640.78/8,887.22 = 8,887.22/x
  3. Step 3: Cross multiply
    3,640.78x = 8,887.22 × 8,887.22
  4. Step 4: Simplify right side
    3,640.78x = 78,982,657.11
  5. Step 5: Solve for x
    x = 78,982,657.11/3,640.78
  6. Step 6: Final answer
    x = 21,693.88

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.