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Finding the Third Proportional to 17,907 and 20,703

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Solution

The third proportional to 17,907 and 20,703 is: 23,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,907 : 20,703 = 20,703 : x
  2. Step 2: Convert to fraction form
    17,907/20,703 = 20,703/x
  3. Step 3: Cross multiply
    17,907x = 20,703 × 20,703
  4. Step 4: Simplify right side
    17,907x = 428,614,209
  5. Step 5: Solve for x
    x = 428,614,209/17,907
  6. Step 6: Final answer
    x = 23,935.57

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.