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Finding the Third Proportional to 259,956 and 561,384

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Solution

The third proportional to 259,956 and 561,384 is: 1,212,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,956 : 561,384 = 561,384 : x
  2. Step 2: Convert to fraction form
    259,956/561,384 = 561,384/x
  3. Step 3: Cross multiply
    259,956x = 561,384 × 561,384
  4. Step 4: Simplify right side
    259,956x = 315,151,995,456
  5. Step 5: Solve for x
    x = 315,151,995,456/259,956
  6. Step 6: Final answer
    x = 1,212,328.22

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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.