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Finding the Third Proportional to 201,206 and 418,940

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Solution

The third proportional to 201,206 and 418,940 is: 872,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,206 : 418,940 = 418,940 : x
  2. Step 2: Convert to fraction form
    201,206/418,940 = 418,940/x
  3. Step 3: Cross multiply
    201,206x = 418,940 × 418,940
  4. Step 4: Simplify right side
    201,206x = 175,510,723,600
  5. Step 5: Solve for x
    x = 175,510,723,600/201,206
  6. Step 6: Final answer
    x = 872,293.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.