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Finding the Third Proportional to 158,376 and 329,811

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Solution

The third proportional to 158,376 and 329,811 is: 686,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,376 : 329,811 = 329,811 : x
  2. Step 2: Convert to fraction form
    158,376/329,811 = 329,811/x
  3. Step 3: Cross multiply
    158,376x = 329,811 × 329,811
  4. Step 4: Simplify right side
    158,376x = 108,775,295,721
  5. Step 5: Solve for x
    x = 108,775,295,721/158,376
  6. Step 6: Final answer
    x = 686,816.79

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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.