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Finding the Third Proportional to 135,801 and 199,540

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Solution

The third proportional to 135,801 and 199,540 is: 293,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,801 : 199,540 = 199,540 : x
  2. Step 2: Convert to fraction form
    135,801/199,540 = 199,540/x
  3. Step 3: Cross multiply
    135,801x = 199,540 × 199,540
  4. Step 4: Simplify right side
    135,801x = 39,816,211,600
  5. Step 5: Solve for x
    x = 39,816,211,600/135,801
  6. Step 6: Final answer
    x = 293,195.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.