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Finding the Third Proportional to 21,330 and 31,999

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Solution

The third proportional to 21,330 and 31,999 is: 48,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,330 : 31,999 = 31,999 : x
  2. Step 2: Convert to fraction form
    21,330/31,999 = 31,999/x
  3. Step 3: Cross multiply
    21,330x = 31,999 × 31,999
  4. Step 4: Simplify right side
    21,330x = 1,023,936,001
  5. Step 5: Solve for x
    x = 1,023,936,001/21,330
  6. Step 6: Final answer
    x = 48,004.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.