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Finding the Third Proportional to 260,288 and 568,312

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Solution

The third proportional to 260,288 and 568,312 is: 1,240,850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,288 : 568,312 = 568,312 : x
  2. Step 2: Convert to fraction form
    260,288/568,312 = 568,312/x
  3. Step 3: Cross multiply
    260,288x = 568,312 × 568,312
  4. Step 4: Simplify right side
    260,288x = 322,978,529,344
  5. Step 5: Solve for x
    x = 322,978,529,344/260,288
  6. Step 6: Final answer
    x = 1,240,850.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.