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Finding the Third Proportional to 251,171.25 and 351,327

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Solution

The third proportional to 251,171.25 and 351,327 is: 491,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,171.25 : 351,327 = 351,327 : x
  2. Step 2: Convert to fraction form
    251,171.25/351,327 = 351,327/x
  3. Step 3: Cross multiply
    251,171.25x = 351,327 × 351,327
  4. Step 4: Simplify right side
    251,171.25x = 123,430,660,929
  5. Step 5: Solve for x
    x = 123,430,660,929/251,171.25
  6. Step 6: Final answer
    x = 491,420.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.