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Finding the Third Proportional to 90,263 and 198,025

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Solution

The third proportional to 90,263 and 198,025 is: 434,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,263 : 198,025 = 198,025 : x
  2. Step 2: Convert to fraction form
    90,263/198,025 = 198,025/x
  3. Step 3: Cross multiply
    90,263x = 198,025 × 198,025
  4. Step 4: Simplify right side
    90,263x = 39,213,900,625
  5. Step 5: Solve for x
    x = 39,213,900,625/90,263
  6. Step 6: Final answer
    x = 434,440.48

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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.