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Finding the Third Proportional to 259,847 and 561,142

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Solution

The third proportional to 259,847 and 561,142 is: 1,211,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,847 : 561,142 = 561,142 : x
  2. Step 2: Convert to fraction form
    259,847/561,142 = 561,142/x
  3. Step 3: Cross multiply
    259,847x = 561,142 × 561,142
  4. Step 4: Simplify right side
    259,847x = 314,880,344,164
  5. Step 5: Solve for x
    x = 314,880,344,164/259,847
  6. Step 6: Final answer
    x = 1,211,791.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.