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Finding the Third Proportional to 155,932 and 336,811

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Solution

The third proportional to 155,932 and 336,811 is: 727,507.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,932 : 336,811 = 336,811 : x
  2. Step 2: Convert to fraction form
    155,932/336,811 = 336,811/x
  3. Step 3: Cross multiply
    155,932x = 336,811 × 336,811
  4. Step 4: Simplify right side
    155,932x = 113,441,649,721
  5. Step 5: Solve for x
    x = 113,441,649,721/155,932
  6. Step 6: Final answer
    x = 727,507.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.