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Finding the Third Proportional to 18,694 and 31,158

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Solution

The third proportional to 18,694 and 31,158 is: 51,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,694 : 31,158 = 31,158 : x
  2. Step 2: Convert to fraction form
    18,694/31,158 = 31,158/x
  3. Step 3: Cross multiply
    18,694x = 31,158 × 31,158
  4. Step 4: Simplify right side
    18,694x = 970,820,964
  5. Step 5: Solve for x
    x = 970,820,964/18,694
  6. Step 6: Final answer
    x = 51,932.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.