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Finding the Third Proportional to 338,568 and 728,112

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Solution

The third proportional to 338,568 and 728,112 is: 1,565,851.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,568 : 728,112 = 728,112 : x
  2. Step 2: Convert to fraction form
    338,568/728,112 = 728,112/x
  3. Step 3: Cross multiply
    338,568x = 728,112 × 728,112
  4. Step 4: Simplify right side
    338,568x = 530,147,084,544
  5. Step 5: Solve for x
    x = 530,147,084,544/338,568
  6. Step 6: Final answer
    x = 1,565,851.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.