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Finding the Third Proportional to 135,894 and 199,843

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Solution

The third proportional to 135,894 and 199,843 is: 293,885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,894 : 199,843 = 199,843 : x
  2. Step 2: Convert to fraction form
    135,894/199,843 = 199,843/x
  3. Step 3: Cross multiply
    135,894x = 199,843 × 199,843
  4. Step 4: Simplify right side
    135,894x = 39,937,224,649
  5. Step 5: Solve for x
    x = 39,937,224,649/135,894
  6. Step 6: Final answer
    x = 293,885.12

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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.