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Finding the Third Proportional to 259,781 and 539,971

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Solution

The third proportional to 259,781 and 539,971 is: 1,122,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,781 : 539,971 = 539,971 : x
  2. Step 2: Convert to fraction form
    259,781/539,971 = 539,971/x
  3. Step 3: Cross multiply
    259,781x = 539,971 × 539,971
  4. Step 4: Simplify right side
    259,781x = 291,568,680,841
  5. Step 5: Solve for x
    x = 291,568,680,841/259,781
  6. Step 6: Final answer
    x = 1,122,363.38

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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.