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Finding the Third Proportional to 131,651 and 198,635

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Solution

The third proportional to 131,651 and 198,635 is: 299,700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,651 : 198,635 = 198,635 : x
  2. Step 2: Convert to fraction form
    131,651/198,635 = 198,635/x
  3. Step 3: Cross multiply
    131,651x = 198,635 × 198,635
  4. Step 4: Simplify right side
    131,651x = 39,455,863,225
  5. Step 5: Solve for x
    x = 39,455,863,225/131,651
  6. Step 6: Final answer
    x = 299,700.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.