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Finding the Third Proportional to 138,328 and 323,932

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Solution

The third proportional to 138,328 and 323,932 is: 758,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,328 : 323,932 = 323,932 : x
  2. Step 2: Convert to fraction form
    138,328/323,932 = 323,932/x
  3. Step 3: Cross multiply
    138,328x = 323,932 × 323,932
  4. Step 4: Simplify right side
    138,328x = 104,931,940,624
  5. Step 5: Solve for x
    x = 104,931,940,624/138,328
  6. Step 6: Final answer
    x = 758,573.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.