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Finding the Third Proportional to 20,909 and 29,307

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Solution

The third proportional to 20,909 and 29,307 is: 41,078.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,909 : 29,307 = 29,307 : x
  2. Step 2: Convert to fraction form
    20,909/29,307 = 29,307/x
  3. Step 3: Cross multiply
    20,909x = 29,307 × 29,307
  4. Step 4: Simplify right side
    20,909x = 858,900,249
  5. Step 5: Solve for x
    x = 858,900,249/20,909
  6. Step 6: Final answer
    x = 41,078.02

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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.