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Finding the Third Proportional to 256,827 and 399,229

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Solution

The third proportional to 256,827 and 399,229 is: 620,588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,827 : 399,229 = 399,229 : x
  2. Step 2: Convert to fraction form
    256,827/399,229 = 399,229/x
  3. Step 3: Cross multiply
    256,827x = 399,229 × 399,229
  4. Step 4: Simplify right side
    256,827x = 159,383,794,441
  5. Step 5: Solve for x
    x = 159,383,794,441/256,827
  6. Step 6: Final answer
    x = 620,588.16

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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.