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Finding the Third Proportional to 202,383 and 440,438

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Solution

The third proportional to 202,383 and 440,438 is: 958,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,383 : 440,438 = 440,438 : x
  2. Step 2: Convert to fraction form
    202,383/440,438 = 440,438/x
  3. Step 3: Cross multiply
    202,383x = 440,438 × 440,438
  4. Step 4: Simplify right side
    202,383x = 193,985,631,844
  5. Step 5: Solve for x
    x = 193,985,631,844/202,383
  6. Step 6: Final answer
    x = 958,507.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.