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Finding the Third Proportional to 135,704 and 205,041

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Solution

The third proportional to 135,704 and 205,041 is: 309,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,704 : 205,041 = 205,041 : x
  2. Step 2: Convert to fraction form
    135,704/205,041 = 205,041/x
  3. Step 3: Cross multiply
    135,704x = 205,041 × 205,041
  4. Step 4: Simplify right side
    135,704x = 42,041,811,681
  5. Step 5: Solve for x
    x = 42,041,811,681/135,704
  6. Step 6: Final answer
    x = 309,805.25

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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.