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Finding the Third Proportional to 284,884 and 442,866

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Solution

The third proportional to 284,884 and 442,866 is: 688,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,884 : 442,866 = 442,866 : x
  2. Step 2: Convert to fraction form
    284,884/442,866 = 442,866/x
  3. Step 3: Cross multiply
    284,884x = 442,866 × 442,866
  4. Step 4: Simplify right side
    284,884x = 196,130,293,956
  5. Step 5: Solve for x
    x = 196,130,293,956/284,884
  6. Step 6: Final answer
    x = 688,456.68

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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.