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Finding the Third Proportional to 217,926 and 330,149.25

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Solution

The third proportional to 217,926 and 330,149.25 is: 500,163.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,926 : 330,149.25 = 330,149.25 : x
  2. Step 2: Convert to fraction form
    217,926/330,149.25 = 330,149.25/x
  3. Step 3: Cross multiply
    217,926x = 330,149.25 × 330,149.25
  4. Step 4: Simplify right side
    217,926x = 108,998,527,275.56
  5. Step 5: Solve for x
    x = 108,998,527,275.56/217,926
  6. Step 6: Final answer
    x = 500,163.02

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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.