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Finding the Third Proportional to 200,162 and 439,690

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Solution

The third proportional to 200,162 and 439,690 is: 965,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,162 : 439,690 = 439,690 : x
  2. Step 2: Convert to fraction form
    200,162/439,690 = 439,690/x
  3. Step 3: Cross multiply
    200,162x = 439,690 × 439,690
  4. Step 4: Simplify right side
    200,162x = 193,327,296,100
  5. Step 5: Solve for x
    x = 193,327,296,100/200,162
  6. Step 6: Final answer
    x = 965,854.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.