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Finding the Third Proportional to 90,916 and 198,354

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Solution

The third proportional to 90,916 and 198,354 is: 432,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,916 : 198,354 = 198,354 : x
  2. Step 2: Convert to fraction form
    90,916/198,354 = 198,354/x
  3. Step 3: Cross multiply
    90,916x = 198,354 × 198,354
  4. Step 4: Simplify right side
    90,916x = 39,344,309,316
  5. Step 5: Solve for x
    x = 39,344,309,316/90,916
  6. Step 6: Final answer
    x = 432,754.51

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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.