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Finding the Third Proportional to 157,078 and 327,404

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Solution

The third proportional to 157,078 and 327,404 is: 682,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,078 : 327,404 = 327,404 : x
  2. Step 2: Convert to fraction form
    157,078/327,404 = 327,404/x
  3. Step 3: Cross multiply
    157,078x = 327,404 × 327,404
  4. Step 4: Simplify right side
    157,078x = 107,193,379,216
  5. Step 5: Solve for x
    x = 107,193,379,216/157,078
  6. Step 6: Final answer
    x = 682,421.34

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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.