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Finding the Third Proportional to 201,225 and 418,949

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Solution

The third proportional to 201,225 and 418,949 is: 872,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,225 : 418,949 = 418,949 : x
  2. Step 2: Convert to fraction form
    201,225/418,949 = 418,949/x
  3. Step 3: Cross multiply
    201,225x = 418,949 × 418,949
  4. Step 4: Simplify right side
    201,225x = 175,518,264,601
  5. Step 5: Solve for x
    x = 175,518,264,601/201,225
  6. Step 6: Final answer
    x = 872,248.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.