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Finding the Third Proportional to 223,568 and 338,240

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Solution

The third proportional to 223,568 and 338,240 is: 511,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,568 : 338,240 = 338,240 : x
  2. Step 2: Convert to fraction form
    223,568/338,240 = 338,240/x
  3. Step 3: Cross multiply
    223,568x = 338,240 × 338,240
  4. Step 4: Simplify right side
    223,568x = 114,406,297,600
  5. Step 5: Solve for x
    x = 114,406,297,600/223,568
  6. Step 6: Final answer
    x = 511,729.31

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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.