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Finding the Third Proportional to 189,792 and 284,256

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Solution

The third proportional to 189,792 and 284,256 is: 425,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,792 : 284,256 = 284,256 : x
  2. Step 2: Convert to fraction form
    189,792/284,256 = 284,256/x
  3. Step 3: Cross multiply
    189,792x = 284,256 × 284,256
  4. Step 4: Simplify right side
    189,792x = 80,801,473,536
  5. Step 5: Solve for x
    x = 80,801,473,536/189,792
  6. Step 6: Final answer
    x = 425,736.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.