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Finding the Third Proportional to 20,387 and 43,357

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Solution

The third proportional to 20,387 and 43,357 is: 92,207.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,387 : 43,357 = 43,357 : x
  2. Step 2: Convert to fraction form
    20,387/43,357 = 43,357/x
  3. Step 3: Cross multiply
    20,387x = 43,357 × 43,357
  4. Step 4: Simplify right side
    20,387x = 1,879,829,449
  5. Step 5: Solve for x
    x = 1,879,829,449/20,387
  6. Step 6: Final answer
    x = 92,207.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.