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Finding the Third Proportional to 218,619 and 332,464.50

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Solution

The third proportional to 218,619 and 332,464.50 is: 505,594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,619 : 332,464.50 = 332,464.50 : x
  2. Step 2: Convert to fraction form
    218,619/332,464.50 = 332,464.50/x
  3. Step 3: Cross multiply
    218,619x = 332,464.50 × 332,464.50
  4. Step 4: Simplify right side
    218,619x = 110,532,643,760.25
  5. Step 5: Solve for x
    x = 110,532,643,760.25/218,619
  6. Step 6: Final answer
    x = 505,594.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.