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Finding the Third Proportional to 201,108 and 421,800

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Solution

The third proportional to 201,108 and 421,800 is: 884,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,108 : 421,800 = 421,800 : x
  2. Step 2: Convert to fraction form
    201,108/421,800 = 421,800/x
  3. Step 3: Cross multiply
    201,108x = 421,800 × 421,800
  4. Step 4: Simplify right side
    201,108x = 177,915,240,000
  5. Step 5: Solve for x
    x = 177,915,240,000/201,108
  6. Step 6: Final answer
    x = 884,675.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.