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Finding the Third Proportional to 128,646 and 198,801

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Solution

The third proportional to 128,646 and 198,801 is: 307,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,646 : 198,801 = 198,801 : x
  2. Step 2: Convert to fraction form
    128,646/198,801 = 198,801/x
  3. Step 3: Cross multiply
    128,646x = 198,801 × 198,801
  4. Step 4: Simplify right side
    128,646x = 39,521,837,601
  5. Step 5: Solve for x
    x = 39,521,837,601/128,646
  6. Step 6: Final answer
    x = 307,213.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.