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Finding the Third Proportional to 104,502 and 223,770.75

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Solution

The third proportional to 104,502 and 223,770.75 is: 479,161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,502 : 223,770.75 = 223,770.75 : x
  2. Step 2: Convert to fraction form
    104,502/223,770.75 = 223,770.75/x
  3. Step 3: Cross multiply
    104,502x = 223,770.75 × 223,770.75
  4. Step 4: Simplify right side
    104,502x = 50,073,348,555.56
  5. Step 5: Solve for x
    x = 50,073,348,555.56/104,502
  6. Step 6: Final answer
    x = 479,161.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.