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Finding the Third Proportional to 201,224 and 418,947

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Solution

The third proportional to 201,224 and 418,947 is: 872,244.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,224 : 418,947 = 418,947 : x
  2. Step 2: Convert to fraction form
    201,224/418,947 = 418,947/x
  3. Step 3: Cross multiply
    201,224x = 418,947 × 418,947
  4. Step 4: Simplify right side
    201,224x = 175,516,588,809
  5. Step 5: Solve for x
    x = 175,516,588,809/201,224
  6. Step 6: Final answer
    x = 872,244.81

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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.