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Finding the Third Proportional to 223,753 and 338,879.50

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Solution

The third proportional to 223,753 and 338,879.50 is: 513,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,753 : 338,879.50 = 338,879.50 : x
  2. Step 2: Convert to fraction form
    223,753/338,879.50 = 338,879.50/x
  3. Step 3: Cross multiply
    223,753x = 338,879.50 × 338,879.50
  4. Step 4: Simplify right side
    223,753x = 114,839,315,520.25
  5. Step 5: Solve for x
    x = 114,839,315,520.25/223,753
  6. Step 6: Final answer
    x = 513,241.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.