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Finding the Third Proportional to 89,439 and 198,561

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Solution

The third proportional to 89,439 and 198,561 is: 440,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,439 : 198,561 = 198,561 : x
  2. Step 2: Convert to fraction form
    89,439/198,561 = 198,561/x
  3. Step 3: Cross multiply
    89,439x = 198,561 × 198,561
  4. Step 4: Simplify right side
    89,439x = 39,426,470,721
  5. Step 5: Solve for x
    x = 39,426,470,721/89,439
  6. Step 6: Final answer
    x = 440,819.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.