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Finding the Third Proportional to 99,391 and 198,700

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Solution

The third proportional to 99,391 and 198,700 is: 397,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,391 : 198,700 = 198,700 : x
  2. Step 2: Convert to fraction form
    99,391/198,700 = 198,700/x
  3. Step 3: Cross multiply
    99,391x = 198,700 × 198,700
  4. Step 4: Simplify right side
    99,391x = 39,481,690,000
  5. Step 5: Solve for x
    x = 39,481,690,000/99,391
  6. Step 6: Final answer
    x = 397,236.07

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.