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Finding the Third Proportional to 200,733 and 440,827

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Solution

The third proportional to 200,733 and 440,827 is: 968,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,733 : 440,827 = 440,827 : x
  2. Step 2: Convert to fraction form
    200,733/440,827 = 440,827/x
  3. Step 3: Cross multiply
    200,733x = 440,827 × 440,827
  4. Step 4: Simplify right side
    200,733x = 194,328,443,929
  5. Step 5: Solve for x
    x = 194,328,443,929/200,733
  6. Step 6: Final answer
    x = 968,094.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.