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Finding the Third Proportional to 15,729 and 34,375

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Solution

The third proportional to 15,729 and 34,375 is: 75,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729 : 34,375 = 34,375 : x
  2. Step 2: Convert to fraction form
    15,729/34,375 = 34,375/x
  3. Step 3: Cross multiply
    15,729x = 34,375 × 34,375
  4. Step 4: Simplify right side
    15,729x = 1,181,640,625
  5. Step 5: Solve for x
    x = 1,181,640,625/15,729
  6. Step 6: Final answer
    x = 75,124.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.