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Finding the Third Proportional to 121,929 and 260,766

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Solution

The third proportional to 121,929 and 260,766 is: 557,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,929 : 260,766 = 260,766 : x
  2. Step 2: Convert to fraction form
    121,929/260,766 = 260,766/x
  3. Step 3: Cross multiply
    121,929x = 260,766 × 260,766
  4. Step 4: Simplify right side
    121,929x = 67,998,906,756
  5. Step 5: Solve for x
    x = 67,998,906,756/121,929
  6. Step 6: Final answer
    x = 557,692.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.