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Finding the Third Proportional to 218,418.75 and 477,246.75

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Solution

The third proportional to 218,418.75 and 477,246.75 is: 1,042,788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,418.75 : 477,246.75 = 477,246.75 : x
  2. Step 2: Convert to fraction form
    218,418.75/477,246.75 = 477,246.75/x
  3. Step 3: Cross multiply
    218,418.75x = 477,246.75 × 477,246.75
  4. Step 4: Simplify right side
    218,418.75x = 227,764,460,385.56
  5. Step 5: Solve for x
    x = 227,764,460,385.56/218,418.75
  6. Step 6: Final answer
    x = 1,042,788.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.