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Finding the Third Proportional to 158,416 and 329,936

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Solution

The third proportional to 158,416 and 329,936 is: 687,163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,416 : 329,936 = 329,936 : x
  2. Step 2: Convert to fraction form
    158,416/329,936 = 329,936/x
  3. Step 3: Cross multiply
    158,416x = 329,936 × 329,936
  4. Step 4: Simplify right side
    158,416x = 108,857,764,096
  5. Step 5: Solve for x
    x = 108,857,764,096/158,416
  6. Step 6: Final answer
    x = 687,163.95

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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.