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Finding the Third Proportional to 121,759 and 260,325

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Solution

The third proportional to 121,759 and 260,325 is: 556,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,759 : 260,325 = 260,325 : x
  2. Step 2: Convert to fraction form
    121,759/260,325 = 260,325/x
  3. Step 3: Cross multiply
    121,759x = 260,325 × 260,325
  4. Step 4: Simplify right side
    121,759x = 67,769,105,625
  5. Step 5: Solve for x
    x = 67,769,105,625/121,759
  6. Step 6: Final answer
    x = 556,583.95

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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.