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Finding the Third Proportional to 156,724 and 329,576

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Solution

The third proportional to 156,724 and 329,576 is: 693,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,724 : 329,576 = 329,576 : x
  2. Step 2: Convert to fraction form
    156,724/329,576 = 329,576/x
  3. Step 3: Cross multiply
    156,724x = 329,576 × 329,576
  4. Step 4: Simplify right side
    156,724x = 108,620,339,776
  5. Step 5: Solve for x
    x = 108,620,339,776/156,724
  6. Step 6: Final answer
    x = 693,067.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.