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Finding the Third Proportional to 201,826 and 428,252

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Solution

The third proportional to 201,826 and 428,252 is: 908,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,826 : 428,252 = 428,252 : x
  2. Step 2: Convert to fraction form
    201,826/428,252 = 428,252/x
  3. Step 3: Cross multiply
    201,826x = 428,252 × 428,252
  4. Step 4: Simplify right side
    201,826x = 183,399,775,504
  5. Step 5: Solve for x
    x = 183,399,775,504/201,826
  6. Step 6: Final answer
    x = 908,702.42

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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.