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Finding the Third Proportional to 18,902 and 40,612

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Solution

The third proportional to 18,902 and 40,612 is: 87,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,902 : 40,612 = 40,612 : x
  2. Step 2: Convert to fraction form
    18,902/40,612 = 40,612/x
  3. Step 3: Cross multiply
    18,902x = 40,612 × 40,612
  4. Step 4: Simplify right side
    18,902x = 1,649,334,544
  5. Step 5: Solve for x
    x = 1,649,334,544/18,902
  6. Step 6: Final answer
    x = 87,257.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.