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Finding the Third Proportional to 201,227 and 426,438

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Solution

The third proportional to 201,227 and 426,438 is: 903,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,227 : 426,438 = 426,438 : x
  2. Step 2: Convert to fraction form
    201,227/426,438 = 426,438/x
  3. Step 3: Cross multiply
    201,227x = 426,438 × 426,438
  4. Step 4: Simplify right side
    201,227x = 181,849,367,844
  5. Step 5: Solve for x
    x = 181,849,367,844/201,227
  6. Step 6: Final answer
    x = 903,702.62

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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.