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Finding the Third Proportional to 156,929 and 339,616

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Solution

The third proportional to 156,929 and 339,616 is: 734,975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,929 : 339,616 = 339,616 : x
  2. Step 2: Convert to fraction form
    156,929/339,616 = 339,616/x
  3. Step 3: Cross multiply
    156,929x = 339,616 × 339,616
  4. Step 4: Simplify right side
    156,929x = 115,339,027,456
  5. Step 5: Solve for x
    x = 115,339,027,456/156,929
  6. Step 6: Final answer
    x = 734,975.86

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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.