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Finding the Third Proportional to 90,198 and 195,948

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Solution

The third proportional to 90,198 and 195,948 is: 425,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,198 : 195,948 = 195,948 : x
  2. Step 2: Convert to fraction form
    90,198/195,948 = 195,948/x
  3. Step 3: Cross multiply
    90,198x = 195,948 × 195,948
  4. Step 4: Simplify right side
    90,198x = 38,395,618,704
  5. Step 5: Solve for x
    x = 38,395,618,704/90,198
  6. Step 6: Final answer
    x = 425,681.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.