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Finding the Third Proportional to 132,998 and 199,821

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Solution

The third proportional to 132,998 and 199,821 is: 300,218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,998 : 199,821 = 199,821 : x
  2. Step 2: Convert to fraction form
    132,998/199,821 = 199,821/x
  3. Step 3: Cross multiply
    132,998x = 199,821 × 199,821
  4. Step 4: Simplify right side
    132,998x = 39,928,432,041
  5. Step 5: Solve for x
    x = 39,928,432,041/132,998
  6. Step 6: Final answer
    x = 300,218.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.