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Finding the Third Proportional to 90,190.13 and 198,149.63

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Solution

The third proportional to 90,190.13 and 198,149.63 is: 435,338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,190.13 : 198,149.63 = 198,149.63 : x
  2. Step 2: Convert to fraction form
    90,190.13/198,149.63 = 198,149.63/x
  3. Step 3: Cross multiply
    90,190.13x = 198,149.63 × 198,149.63
  4. Step 4: Simplify right side
    90,190.13x = 39,263,273,887.64
  5. Step 5: Solve for x
    x = 39,263,273,887.64/90,190.13
  6. Step 6: Final answer
    x = 435,338.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.