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Finding the Third Proportional to 120,658 and 259,815

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Solution

The third proportional to 120,658 and 259,815 is: 559,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,658 : 259,815 = 259,815 : x
  2. Step 2: Convert to fraction form
    120,658/259,815 = 259,815/x
  3. Step 3: Cross multiply
    120,658x = 259,815 × 259,815
  4. Step 4: Simplify right side
    120,658x = 67,503,834,225
  5. Step 5: Solve for x
    x = 67,503,834,225/120,658
  6. Step 6: Final answer
    x = 559,464.22

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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.