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Finding the Third Proportional to 201,540 and 439,368

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Solution

The third proportional to 201,540 and 439,368 is: 957,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,540 : 439,368 = 439,368 : x
  2. Step 2: Convert to fraction form
    201,540/439,368 = 439,368/x
  3. Step 3: Cross multiply
    201,540x = 439,368 × 439,368
  4. Step 4: Simplify right side
    201,540x = 193,044,239,424
  5. Step 5: Solve for x
    x = 193,044,239,424/201,540
  6. Step 6: Final answer
    x = 957,845.78

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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.