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Finding the Third Proportional to 10,002 and 15,205

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Solution

The third proportional to 10,002 and 15,205 is: 23,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002 : 15,205 = 15,205 : x
  2. Step 2: Convert to fraction form
    10,002/15,205 = 15,205/x
  3. Step 3: Cross multiply
    10,002x = 15,205 × 15,205
  4. Step 4: Simplify right side
    10,002x = 231,192,025
  5. Step 5: Solve for x
    x = 231,192,025/10,002
  6. Step 6: Final answer
    x = 23,114.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.