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Finding the Third Proportional to 201,190.50 and 418,905

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Solution

The third proportional to 201,190.50 and 418,905 is: 872,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,190.50 : 418,905 = 418,905 : x
  2. Step 2: Convert to fraction form
    201,190.50/418,905 = 418,905/x
  3. Step 3: Cross multiply
    201,190.50x = 418,905 × 418,905
  4. Step 4: Simplify right side
    201,190.50x = 175,481,399,025
  5. Step 5: Solve for x
    x = 175,481,399,025/201,190.50
  6. Step 6: Final answer
    x = 872,215.13

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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.