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Finding the Third Proportional to 201,906 and 428,406

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Solution

The third proportional to 201,906 and 428,406 is: 908,995.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906 : 428,406 = 428,406 : x
  2. Step 2: Convert to fraction form
    201,906/428,406 = 428,406/x
  3. Step 3: Cross multiply
    201,906x = 428,406 × 428,406
  4. Step 4: Simplify right side
    201,906x = 183,531,700,836
  5. Step 5: Solve for x
    x = 183,531,700,836/201,906
  6. Step 6: Final answer
    x = 908,995.77

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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.