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Finding the Third Proportional to 38,859 and 69,721

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Solution

The third proportional to 38,859 and 69,721 is: 125,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,859 : 69,721 = 69,721 : x
  2. Step 2: Convert to fraction form
    38,859/69,721 = 69,721/x
  3. Step 3: Cross multiply
    38,859x = 69,721 × 69,721
  4. Step 4: Simplify right side
    38,859x = 4,861,017,841
  5. Step 5: Solve for x
    x = 4,861,017,841/38,859
  6. Step 6: Final answer
    x = 125,093.75

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.