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Finding the Third Proportional to 11,999 and 28,031

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Solution

The third proportional to 11,999 and 28,031 is: 65,483.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999 : 28,031 = 28,031 : x
  2. Step 2: Convert to fraction form
    11,999/28,031 = 28,031/x
  3. Step 3: Cross multiply
    11,999x = 28,031 × 28,031
  4. Step 4: Simplify right side
    11,999x = 785,736,961
  5. Step 5: Solve for x
    x = 785,736,961/11,999
  6. Step 6: Final answer
    x = 65,483.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.