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Finding the Third Proportional to 90,774 and 198,774

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Solution

The third proportional to 90,774 and 198,774 is: 435,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,774 : 198,774 = 198,774 : x
  2. Step 2: Convert to fraction form
    90,774/198,774 = 198,774/x
  3. Step 3: Cross multiply
    90,774x = 198,774 × 198,774
  4. Step 4: Simplify right side
    90,774x = 39,511,103,076
  5. Step 5: Solve for x
    x = 39,511,103,076/90,774
  6. Step 6: Final answer
    x = 435,268.94

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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.