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Finding the Third Proportional to 104,110.50 and 224,013

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Solution

The third proportional to 104,110.50 and 224,013 is: 482,005.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,110.50 : 224,013 = 224,013 : x
  2. Step 2: Convert to fraction form
    104,110.50/224,013 = 224,013/x
  3. Step 3: Cross multiply
    104,110.50x = 224,013 × 224,013
  4. Step 4: Simplify right side
    104,110.50x = 50,181,824,169
  5. Step 5: Solve for x
    x = 50,181,824,169/104,110.50
  6. Step 6: Final answer
    x = 482,005.41

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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.