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Finding the Third Proportional to 20,900 and 29,293

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Solution

The third proportional to 20,900 and 29,293 is: 41,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900 : 29,293 = 29,293 : x
  2. Step 2: Convert to fraction form
    20,900/29,293 = 29,293/x
  3. Step 3: Cross multiply
    20,900x = 29,293 × 29,293
  4. Step 4: Simplify right side
    20,900x = 858,079,849
  5. Step 5: Solve for x
    x = 858,079,849/20,900
  6. Step 6: Final answer
    x = 41,056.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.