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Finding the Third Proportional to 284,864 and 442,836

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Solution

The third proportional to 284,864 and 442,836 is: 688,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,864 : 442,836 = 442,836 : x
  2. Step 2: Convert to fraction form
    284,864/442,836 = 442,836/x
  3. Step 3: Cross multiply
    284,864x = 442,836 × 442,836
  4. Step 4: Simplify right side
    284,864x = 196,103,722,896
  5. Step 5: Solve for x
    x = 196,103,722,896/284,864
  6. Step 6: Final answer
    x = 688,411.74

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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.