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Finding the Third Proportional to 201,211 and 426,406

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Solution

The third proportional to 201,211 and 426,406 is: 903,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,211 : 426,406 = 426,406 : x
  2. Step 2: Convert to fraction form
    201,211/426,406 = 426,406/x
  3. Step 3: Cross multiply
    201,211x = 426,406 × 426,406
  4. Step 4: Simplify right side
    201,211x = 181,822,076,836
  5. Step 5: Solve for x
    x = 181,822,076,836/201,211
  6. Step 6: Final answer
    x = 903,638.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.