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Finding the Third Proportional to 201,114 and 421,812

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Solution

The third proportional to 201,114 and 421,812 is: 884,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,114 : 421,812 = 421,812 : x
  2. Step 2: Convert to fraction form
    201,114/421,812 = 421,812/x
  3. Step 3: Cross multiply
    201,114x = 421,812 × 421,812
  4. Step 4: Simplify right side
    201,114x = 177,925,363,344
  5. Step 5: Solve for x
    x = 177,925,363,344/201,114
  6. Step 6: Final answer
    x = 884,699.04

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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.