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Finding the Third Proportional to 21,320 and 33,376

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Solution

The third proportional to 21,320 and 33,376 is: 52,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,320 : 33,376 = 33,376 : x
  2. Step 2: Convert to fraction form
    21,320/33,376 = 33,376/x
  3. Step 3: Cross multiply
    21,320x = 33,376 × 33,376
  4. Step 4: Simplify right side
    21,320x = 1,113,957,376
  5. Step 5: Solve for x
    x = 1,113,957,376/21,320
  6. Step 6: Final answer
    x = 52,249.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.