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Finding the Third Proportional to 129,192 and 278,096

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Solution

The third proportional to 129,192 and 278,096 is: 598,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,192 : 278,096 = 278,096 : x
  2. Step 2: Convert to fraction form
    129,192/278,096 = 278,096/x
  3. Step 3: Cross multiply
    129,192x = 278,096 × 278,096
  4. Step 4: Simplify right side
    129,192x = 77,337,385,216
  5. Step 5: Solve for x
    x = 77,337,385,216/129,192
  6. Step 6: Final answer
    x = 598,623.64

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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.