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Finding the Third Proportional to 129,468 and 193,662

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Solution

The third proportional to 129,468 and 193,662 is: 289,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,468 : 193,662 = 193,662 : x
  2. Step 2: Convert to fraction form
    129,468/193,662 = 193,662/x
  3. Step 3: Cross multiply
    129,468x = 193,662 × 193,662
  4. Step 4: Simplify right side
    129,468x = 37,504,970,244
  5. Step 5: Solve for x
    x = 37,504,970,244/129,468
  6. Step 6: Final answer
    x = 289,685.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.