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Finding the Third Proportional to 223,138.50 and 490,503

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Solution

The third proportional to 223,138.50 and 490,503 is: 1,078,223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,138.50 : 490,503 = 490,503 : x
  2. Step 2: Convert to fraction form
    223,138.50/490,503 = 490,503/x
  3. Step 3: Cross multiply
    223,138.50x = 490,503 × 490,503
  4. Step 4: Simplify right side
    223,138.50x = 240,593,193,009
  5. Step 5: Solve for x
    x = 240,593,193,009/223,138.50
  6. Step 6: Final answer
    x = 1,078,223.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.