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Finding the Third Proportional to 90,458 and 198,866

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Solution

The third proportional to 90,458 and 198,866 is: 437,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,458 : 198,866 = 198,866 : x
  2. Step 2: Convert to fraction form
    90,458/198,866 = 198,866/x
  3. Step 3: Cross multiply
    90,458x = 198,866 × 198,866
  4. Step 4: Simplify right side
    90,458x = 39,547,685,956
  5. Step 5: Solve for x
    x = 39,547,685,956/90,458
  6. Step 6: Final answer
    x = 437,193.90

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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.