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Finding the Third Proportional to 120,719 and 260,122

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Solution

The third proportional to 120,719 and 260,122 is: 560,503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,719 : 260,122 = 260,122 : x
  2. Step 2: Convert to fraction form
    120,719/260,122 = 260,122/x
  3. Step 3: Cross multiply
    120,719x = 260,122 × 260,122
  4. Step 4: Simplify right side
    120,719x = 67,663,454,884
  5. Step 5: Solve for x
    x = 67,663,454,884/120,719
  6. Step 6: Final answer
    x = 560,503.77

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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.