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Finding the Third Proportional to 120,539 and 259,217

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Solution

The third proportional to 120,539 and 259,217 is: 557,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,539 : 259,217 = 259,217 : x
  2. Step 2: Convert to fraction form
    120,539/259,217 = 259,217/x
  3. Step 3: Cross multiply
    120,539x = 259,217 × 259,217
  4. Step 4: Simplify right side
    120,539x = 67,193,453,089
  5. Step 5: Solve for x
    x = 67,193,453,089/120,539
  6. Step 6: Final answer
    x = 557,441.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.