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Finding the Third Proportional to 20,904 and 32,381

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Solution

The third proportional to 20,904 and 32,381 is: 50,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,904 : 32,381 = 32,381 : x
  2. Step 2: Convert to fraction form
    20,904/32,381 = 32,381/x
  3. Step 3: Cross multiply
    20,904x = 32,381 × 32,381
  4. Step 4: Simplify right side
    20,904x = 1,048,529,161
  5. Step 5: Solve for x
    x = 1,048,529,161/20,904
  6. Step 6: Final answer
    x = 50,159.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.