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Finding the Third Proportional to 149,638 and 327,436

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Solution

The third proportional to 149,638 and 327,436 is: 716,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,638 : 327,436 = 327,436 : x
  2. Step 2: Convert to fraction form
    149,638/327,436 = 327,436/x
  3. Step 3: Cross multiply
    149,638x = 327,436 × 327,436
  4. Step 4: Simplify right side
    149,638x = 107,214,334,096
  5. Step 5: Solve for x
    x = 107,214,334,096/149,638
  6. Step 6: Final answer
    x = 716,491.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.