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Finding the Third Proportional to 67,702 and 135,666

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Solution

The third proportional to 67,702 and 135,666 is: 271,857.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,702 : 135,666 = 135,666 : x
  2. Step 2: Convert to fraction form
    67,702/135,666 = 135,666/x
  3. Step 3: Cross multiply
    67,702x = 135,666 × 135,666
  4. Step 4: Simplify right side
    67,702x = 18,405,263,556
  5. Step 5: Solve for x
    x = 18,405,263,556/67,702
  6. Step 6: Final answer
    x = 271,857.01

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.