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Finding the Third Proportional to 135,936 and 199,743

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Solution

The third proportional to 135,936 and 199,743 is: 293,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,936 : 199,743 = 199,743 : x
  2. Step 2: Convert to fraction form
    135,936/199,743 = 199,743/x
  3. Step 3: Cross multiply
    135,936x = 199,743 × 199,743
  4. Step 4: Simplify right side
    135,936x = 39,897,266,049
  5. Step 5: Solve for x
    x = 39,897,266,049/135,936
  6. Step 6: Final answer
    x = 293,500.37

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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.