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Finding the Third Proportional to 121,194 and 260,379

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Solution

The third proportional to 121,194 and 260,379 is: 559,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,194 : 260,379 = 260,379 : x
  2. Step 2: Convert to fraction form
    121,194/260,379 = 260,379/x
  3. Step 3: Cross multiply
    121,194x = 260,379 × 260,379
  4. Step 4: Simplify right side
    121,194x = 67,797,223,641
  5. Step 5: Solve for x
    x = 67,797,223,641/121,194
  6. Step 6: Final answer
    x = 559,410.73

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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.