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Finding the Third Proportional to 21,165 and 31,749

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Solution

The third proportional to 21,165 and 31,749 is: 47,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165 : 31,749 = 31,749 : x
  2. Step 2: Convert to fraction form
    21,165/31,749 = 31,749/x
  3. Step 3: Cross multiply
    21,165x = 31,749 × 31,749
  4. Step 4: Simplify right side
    21,165x = 1,007,999,001
  5. Step 5: Solve for x
    x = 1,007,999,001/21,165
  6. Step 6: Final answer
    x = 47,625.75

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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.