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Finding the Third Proportional to 223,114.50 and 490,313.25

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Solution

The third proportional to 223,114.50 and 490,313.25 is: 1,077,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,114.50 : 490,313.25 = 490,313.25 : x
  2. Step 2: Convert to fraction form
    223,114.50/490,313.25 = 490,313.25/x
  3. Step 3: Cross multiply
    223,114.50x = 490,313.25 × 490,313.25
  4. Step 4: Simplify right side
    223,114.50x = 240,407,083,125.56
  5. Step 5: Solve for x
    x = 240,407,083,125.56/223,114.50
  6. Step 6: Final answer
    x = 1,077,505.42

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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.