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Finding the Third Proportional to 91,857 and 198,477

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Solution

The third proportional to 91,857 and 198,477 is: 428,852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,857 : 198,477 = 198,477 : x
  2. Step 2: Convert to fraction form
    91,857/198,477 = 198,477/x
  3. Step 3: Cross multiply
    91,857x = 198,477 × 198,477
  4. Step 4: Simplify right side
    91,857x = 39,393,119,529
  5. Step 5: Solve for x
    x = 39,393,119,529/91,857
  6. Step 6: Final answer
    x = 428,852.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.