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Finding the Third Proportional to 284,839 and 442,811

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Solution

The third proportional to 284,839 and 442,811 is: 688,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,839 : 442,811 = 442,811 : x
  2. Step 2: Convert to fraction form
    284,839/442,811 = 442,811/x
  3. Step 3: Cross multiply
    284,839x = 442,811 × 442,811
  4. Step 4: Simplify right side
    284,839x = 196,081,581,721
  5. Step 5: Solve for x
    x = 196,081,581,721/284,839
  6. Step 6: Final answer
    x = 688,394.43

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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.