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Finding the Third Proportional to 156,384 and 343,872

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Solution

The third proportional to 156,384 and 343,872 is: 756,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,384 : 343,872 = 343,872 : x
  2. Step 2: Convert to fraction form
    156,384/343,872 = 343,872/x
  3. Step 3: Cross multiply
    156,384x = 343,872 × 343,872
  4. Step 4: Simplify right side
    156,384x = 118,247,952,384
  5. Step 5: Solve for x
    x = 118,247,952,384/156,384
  6. Step 6: Final answer
    x = 756,138.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.