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Finding the Third Proportional to 203,940 and 286,682

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Solution

The third proportional to 203,940 and 286,682 is: 402,993.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,940 : 286,682 = 286,682 : x
  2. Step 2: Convert to fraction form
    203,940/286,682 = 286,682/x
  3. Step 3: Cross multiply
    203,940x = 286,682 × 286,682
  4. Step 4: Simplify right side
    203,940x = 82,186,569,124
  5. Step 5: Solve for x
    x = 82,186,569,124/203,940
  6. Step 6: Final answer
    x = 402,993.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.