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Finding the Third Proportional to 259,405 and 568,019

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Solution

The third proportional to 259,405 and 568,019 is: 1,243,790.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,405 : 568,019 = 568,019 : x
  2. Step 2: Convert to fraction form
    259,405/568,019 = 568,019/x
  3. Step 3: Cross multiply
    259,405x = 568,019 × 568,019
  4. Step 4: Simplify right side
    259,405x = 322,645,584,361
  5. Step 5: Solve for x
    x = 322,645,584,361/259,405
  6. Step 6: Final answer
    x = 1,243,790.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.