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Finding the Third Proportional to 129,600 and 284,544

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Solution

The third proportional to 129,600 and 284,544 is: 624,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,600 : 284,544 = 284,544 : x
  2. Step 2: Convert to fraction form
    129,600/284,544 = 284,544/x
  3. Step 3: Cross multiply
    129,600x = 284,544 × 284,544
  4. Step 4: Simplify right side
    129,600x = 80,965,287,936
  5. Step 5: Solve for x
    x = 80,965,287,936/129,600
  6. Step 6: Final answer
    x = 624,732.16

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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.