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Finding the Third Proportional to 201,636 and 440,206

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Solution

The third proportional to 201,636 and 440,206 is: 961,045.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,636 : 440,206 = 440,206 : x
  2. Step 2: Convert to fraction form
    201,636/440,206 = 440,206/x
  3. Step 3: Cross multiply
    201,636x = 440,206 × 440,206
  4. Step 4: Simplify right side
    201,636x = 193,781,322,436
  5. Step 5: Solve for x
    x = 193,781,322,436/201,636
  6. Step 6: Final answer
    x = 961,045.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.