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Finding the Third Proportional to 90,941 and 198,798

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Solution

The third proportional to 90,941 and 198,798 is: 434,574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,941 : 198,798 = 198,798 : x
  2. Step 2: Convert to fraction form
    90,941/198,798 = 198,798/x
  3. Step 3: Cross multiply
    90,941x = 198,798 × 198,798
  4. Step 4: Simplify right side
    90,941x = 39,520,644,804
  5. Step 5: Solve for x
    x = 39,520,644,804/90,941
  6. Step 6: Final answer
    x = 434,574.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.