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Finding the Third Proportional to 199,290.38 and 332,150.63

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Solution

The third proportional to 199,290.38 and 332,150.63 is: 553,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,290.38 : 332,150.63 = 332,150.63 : x
  2. Step 2: Convert to fraction form
    199,290.38/332,150.63 = 332,150.63/x
  3. Step 3: Cross multiply
    199,290.38x = 332,150.63 × 332,150.63
  4. Step 4: Simplify right side
    199,290.38x = 110,324,037,687.89
  5. Step 5: Solve for x
    x = 110,324,037,687.89/199,290.38
  6. Step 6: Final answer
    x = 553,584.38

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.