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Finding the Third Proportional to 201,287 and 475,211

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Solution

The third proportional to 201,287 and 475,211 is: 1,121,907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,287 : 475,211 = 475,211 : x
  2. Step 2: Convert to fraction form
    201,287/475,211 = 475,211/x
  3. Step 3: Cross multiply
    201,287x = 475,211 × 475,211
  4. Step 4: Simplify right side
    201,287x = 225,825,494,521
  5. Step 5: Solve for x
    x = 225,825,494,521/201,287
  6. Step 6: Final answer
    x = 1,121,907.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.