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Finding the Third Proportional to 120,777 and 260,154

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Solution

The third proportional to 120,777 and 260,154 is: 560,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,777 : 260,154 = 260,154 : x
  2. Step 2: Convert to fraction form
    120,777/260,154 = 260,154/x
  3. Step 3: Cross multiply
    120,777x = 260,154 × 260,154
  4. Step 4: Simplify right side
    120,777x = 67,680,103,716
  5. Step 5: Solve for x
    x = 67,680,103,716/120,777
  6. Step 6: Final answer
    x = 560,372.45

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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.