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Finding the Third Proportional to 138,708 and 308,568

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Solution

The third proportional to 138,708 and 308,568 is: 686,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,708 : 308,568 = 308,568 : x
  2. Step 2: Convert to fraction form
    138,708/308,568 = 308,568/x
  3. Step 3: Cross multiply
    138,708x = 308,568 × 308,568
  4. Step 4: Simplify right side
    138,708x = 95,214,210,624
  5. Step 5: Solve for x
    x = 95,214,210,624/138,708
  6. Step 6: Final answer
    x = 686,436.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.