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Finding the Third Proportional to 129,177 and 283,815

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Solution

The third proportional to 129,177 and 283,815 is: 623,570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,177 : 283,815 = 283,815 : x
  2. Step 2: Convert to fraction form
    129,177/283,815 = 283,815/x
  3. Step 3: Cross multiply
    129,177x = 283,815 × 283,815
  4. Step 4: Simplify right side
    129,177x = 80,550,954,225
  5. Step 5: Solve for x
    x = 80,550,954,225/129,177
  6. Step 6: Final answer
    x = 623,570.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.