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Finding the Third Proportional to 104,112.84 and 224,025.75

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Solution

The third proportional to 104,112.84 and 224,025.75 is: 482,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,112.84 : 224,025.75 = 224,025.75 : x
  2. Step 2: Convert to fraction form
    104,112.84/224,025.75 = 224,025.75/x
  3. Step 3: Cross multiply
    104,112.84x = 224,025.75 × 224,025.75
  4. Step 4: Simplify right side
    104,112.84x = 50,187,536,663.06
  5. Step 5: Solve for x
    x = 50,187,536,663.06/104,112.84
  6. Step 6: Final answer
    x = 482,049.43

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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.