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Finding the Third Proportional to 120,779 and 260,026

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Solution

The third proportional to 120,779 and 260,026 is: 559,811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,779 : 260,026 = 260,026 : x
  2. Step 2: Convert to fraction form
    120,779/260,026 = 260,026/x
  3. Step 3: Cross multiply
    120,779x = 260,026 × 260,026
  4. Step 4: Simplify right side
    120,779x = 67,613,520,676
  5. Step 5: Solve for x
    x = 67,613,520,676/120,779
  6. Step 6: Final answer
    x = 559,811.89

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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.