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Finding the Third Proportional to 90,451 and 198,946

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Solution

The third proportional to 90,451 and 198,946 is: 437,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,451 : 198,946 = 198,946 : x
  2. Step 2: Convert to fraction form
    90,451/198,946 = 198,946/x
  3. Step 3: Cross multiply
    90,451x = 198,946 × 198,946
  4. Step 4: Simplify right side
    90,451x = 39,579,510,916
  5. Step 5: Solve for x
    x = 39,579,510,916/90,451
  6. Step 6: Final answer
    x = 437,579.58

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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.