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Finding the Third Proportional to 90,453 and 198,950

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Solution

The third proportional to 90,453 and 198,950 is: 437,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,453 : 198,950 = 198,950 : x
  2. Step 2: Convert to fraction form
    90,453/198,950 = 198,950/x
  3. Step 3: Cross multiply
    90,453x = 198,950 × 198,950
  4. Step 4: Simplify right side
    90,453x = 39,581,102,500
  5. Step 5: Solve for x
    x = 39,581,102,500/90,453
  6. Step 6: Final answer
    x = 437,587.50

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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.