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Finding the Third Proportional to 201,222 and 418,980

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Solution

The third proportional to 201,222 and 418,980 is: 872,390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,222 : 418,980 = 418,980 : x
  2. Step 2: Convert to fraction form
    201,222/418,980 = 418,980/x
  3. Step 3: Cross multiply
    201,222x = 418,980 × 418,980
  4. Step 4: Simplify right side
    201,222x = 175,544,240,400
  5. Step 5: Solve for x
    x = 175,544,240,400/201,222
  6. Step 6: Final answer
    x = 872,390.89

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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.