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Finding the Third Proportional to 15,729 and 34,227

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Solution

The third proportional to 15,729 and 34,227 is: 74,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729 : 34,227 = 34,227 : x
  2. Step 2: Convert to fraction form
    15,729/34,227 = 34,227/x
  3. Step 3: Cross multiply
    15,729x = 34,227 × 34,227
  4. Step 4: Simplify right side
    15,729x = 1,171,487,529
  5. Step 5: Solve for x
    x = 1,171,487,529/15,729
  6. Step 6: Final answer
    x = 74,479.47

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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.