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Finding the Third Proportional to 259,772 and 539,956

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Solution

The third proportional to 259,772 and 539,956 is: 1,122,339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,772 : 539,956 = 539,956 : x
  2. Step 2: Convert to fraction form
    259,772/539,956 = 539,956/x
  3. Step 3: Cross multiply
    259,772x = 539,956 × 539,956
  4. Step 4: Simplify right side
    259,772x = 291,552,481,936
  5. Step 5: Solve for x
    x = 291,552,481,936/259,772
  6. Step 6: Final answer
    x = 1,122,339.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.