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Finding the Third Proportional to 284,858 and 442,827

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Solution

The third proportional to 284,858 and 442,827 is: 688,398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,858 : 442,827 = 442,827 : x
  2. Step 2: Convert to fraction form
    284,858/442,827 = 442,827/x
  3. Step 3: Cross multiply
    284,858x = 442,827 × 442,827
  4. Step 4: Simplify right side
    284,858x = 196,095,751,929
  5. Step 5: Solve for x
    x = 196,095,751,929/284,858
  6. Step 6: Final answer
    x = 688,398.26

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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.