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Finding the Third Proportional to 259,860 and 568,320

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Solution

The third proportional to 259,860 and 568,320 is: 1,242,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,860 : 568,320 = 568,320 : x
  2. Step 2: Convert to fraction form
    259,860/568,320 = 568,320/x
  3. Step 3: Cross multiply
    259,860x = 568,320 × 568,320
  4. Step 4: Simplify right side
    259,860x = 322,987,622,400
  5. Step 5: Solve for x
    x = 322,987,622,400/259,860
  6. Step 6: Final answer
    x = 1,242,929.36

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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.