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Finding the Third Proportional to 15,189 and 31,912

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Solution

The third proportional to 15,189 and 31,912 is: 67,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,189 : 31,912 = 31,912 : x
  2. Step 2: Convert to fraction form
    15,189/31,912 = 31,912/x
  3. Step 3: Cross multiply
    15,189x = 31,912 × 31,912
  4. Step 4: Simplify right side
    15,189x = 1,018,375,744
  5. Step 5: Solve for x
    x = 1,018,375,744/15,189
  6. Step 6: Final answer
    x = 67,046.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.