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Finding the Third Proportional to 284,838 and 442,812

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Solution

The third proportional to 284,838 and 442,812 is: 688,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,838 : 442,812 = 442,812 : x
  2. Step 2: Convert to fraction form
    284,838/442,812 = 442,812/x
  3. Step 3: Cross multiply
    284,838x = 442,812 × 442,812
  4. Step 4: Simplify right side
    284,838x = 196,082,467,344
  5. Step 5: Solve for x
    x = 196,082,467,344/284,838
  6. Step 6: Final answer
    x = 688,399.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.