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Finding the Third Proportional to 8,902 and 18,901

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Solution

The third proportional to 8,902 and 18,901 is: 40,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902 : 18,901 = 18,901 : x
  2. Step 2: Convert to fraction form
    8,902/18,901 = 18,901/x
  3. Step 3: Cross multiply
    8,902x = 18,901 × 18,901
  4. Step 4: Simplify right side
    8,902x = 357,247,801
  5. Step 5: Solve for x
    x = 357,247,801/8,902
  6. Step 6: Final answer
    x = 40,131.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.