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Finding the Third Proportional to 120,317 and 259,705

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Solution

The third proportional to 120,317 and 259,705 is: 560,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,317 : 259,705 = 259,705 : x
  2. Step 2: Convert to fraction form
    120,317/259,705 = 259,705/x
  3. Step 3: Cross multiply
    120,317x = 259,705 × 259,705
  4. Step 4: Simplify right side
    120,317x = 67,446,687,025
  5. Step 5: Solve for x
    x = 67,446,687,025/120,317
  6. Step 6: Final answer
    x = 560,574.87

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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.