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Finding the Third Proportional to 15,999 and 34,311

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Solution

The third proportional to 15,999 and 34,311 is: 73,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999 : 34,311 = 34,311 : x
  2. Step 2: Convert to fraction form
    15,999/34,311 = 34,311/x
  3. Step 3: Cross multiply
    15,999x = 34,311 × 34,311
  4. Step 4: Simplify right side
    15,999x = 1,177,244,721
  5. Step 5: Solve for x
    x = 1,177,244,721/15,999
  6. Step 6: Final answer
    x = 73,582.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.