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Finding the Third Proportional to 129,190 and 278,168

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Solution

The third proportional to 129,190 and 278,168 is: 598,942.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,190 : 278,168 = 278,168 : x
  2. Step 2: Convert to fraction form
    129,190/278,168 = 278,168/x
  3. Step 3: Cross multiply
    129,190x = 278,168 × 278,168
  4. Step 4: Simplify right side
    129,190x = 77,377,436,224
  5. Step 5: Solve for x
    x = 77,377,436,224/129,190
  6. Step 6: Final answer
    x = 598,942.92

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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.