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Finding the Third Proportional to 149,609 and 327,831

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Solution

The third proportional to 149,609 and 327,831 is: 718,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,609 : 327,831 = 327,831 : x
  2. Step 2: Convert to fraction form
    149,609/327,831 = 327,831/x
  3. Step 3: Cross multiply
    149,609x = 327,831 × 327,831
  4. Step 4: Simplify right side
    149,609x = 107,473,164,561
  5. Step 5: Solve for x
    x = 107,473,164,561/149,609
  6. Step 6: Final answer
    x = 718,360.29

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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.