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Finding the Third Proportional to 129,544 and 283,100

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Solution

The third proportional to 129,544 and 283,100 is: 618,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,544 : 283,100 = 283,100 : x
  2. Step 2: Convert to fraction form
    129,544/283,100 = 283,100/x
  3. Step 3: Cross multiply
    129,544x = 283,100 × 283,100
  4. Step 4: Simplify right side
    129,544x = 80,145,610,000
  5. Step 5: Solve for x
    x = 80,145,610,000/129,544
  6. Step 6: Final answer
    x = 618,674.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.