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Finding the Third Proportional to 21,729 and 32,781

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Solution

The third proportional to 21,729 and 32,781 is: 49,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,729 : 32,781 = 32,781 : x
  2. Step 2: Convert to fraction form
    21,729/32,781 = 32,781/x
  3. Step 3: Cross multiply
    21,729x = 32,781 × 32,781
  4. Step 4: Simplify right side
    21,729x = 1,074,593,961
  5. Step 5: Solve for x
    x = 1,074,593,961/21,729
  6. Step 6: Final answer
    x = 49,454.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.