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Finding the Third Proportional to 21,720 and 32,762

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Solution

The third proportional to 21,720 and 32,762 is: 49,417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,720 : 32,762 = 32,762 : x
  2. Step 2: Convert to fraction form
    21,720/32,762 = 32,762/x
  3. Step 3: Cross multiply
    21,720x = 32,762 × 32,762
  4. Step 4: Simplify right side
    21,720x = 1,073,348,644
  5. Step 5: Solve for x
    x = 1,073,348,644/21,720
  6. Step 6: Final answer
    x = 49,417.53

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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.