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Finding the Third Proportional to 251,388.50 and 351,643

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Solution

The third proportional to 251,388.50 and 351,643 is: 491,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,388.50 : 351,643 = 351,643 : x
  2. Step 2: Convert to fraction form
    251,388.50/351,643 = 351,643/x
  3. Step 3: Cross multiply
    251,388.50x = 351,643 × 351,643
  4. Step 4: Simplify right side
    251,388.50x = 123,652,799,449
  5. Step 5: Solve for x
    x = 123,652,799,449/251,388.50
  6. Step 6: Final answer
    x = 491,879.30

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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.