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Finding the Third Proportional to 931 and 1,903

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Solution

The third proportional to 931 and 1,903 is: 3,889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    931 : 1,903 = 1,903 : x
  2. Step 2: Convert to fraction form
    931/1,903 = 1,903/x
  3. Step 3: Cross multiply
    931x = 1,903 × 1,903
  4. Step 4: Simplify right side
    931x = 3,621,409
  5. Step 5: Solve for x
    x = 3,621,409/931
  6. Step 6: Final answer
    x = 3,889.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.