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Finding the Third Proportional to 119,978 and 260,668

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Solution

The third proportional to 119,978 and 260,668 is: 566,335.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,978 : 260,668 = 260,668 : x
  2. Step 2: Convert to fraction form
    119,978/260,668 = 260,668/x
  3. Step 3: Cross multiply
    119,978x = 260,668 × 260,668
  4. Step 4: Simplify right side
    119,978x = 67,947,806,224
  5. Step 5: Solve for x
    x = 67,947,806,224/119,978
  6. Step 6: Final answer
    x = 566,335.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.