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Finding the Third Proportional to 259,328 and 539,311

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Solution

The third proportional to 259,328 and 539,311 is: 1,121,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,328 : 539,311 = 539,311 : x
  2. Step 2: Convert to fraction form
    259,328/539,311 = 539,311/x
  3. Step 3: Cross multiply
    259,328x = 539,311 × 539,311
  4. Step 4: Simplify right side
    259,328x = 290,856,354,721
  5. Step 5: Solve for x
    x = 290,856,354,721/259,328
  6. Step 6: Final answer
    x = 1,121,577.13

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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.