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Finding the Third Proportional to 90,930 and 198,381

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Solution

The third proportional to 90,930 and 198,381 is: 432,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,930 : 198,381 = 198,381 : x
  2. Step 2: Convert to fraction form
    90,930/198,381 = 198,381/x
  3. Step 3: Cross multiply
    90,930x = 198,381 × 198,381
  4. Step 4: Simplify right side
    90,930x = 39,355,021,161
  5. Step 5: Solve for x
    x = 39,355,021,161/90,930
  6. Step 6: Final answer
    x = 432,805.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.