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Finding the Third Proportional to 156,721 and 338,377

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Solution

The third proportional to 156,721 and 338,377 is: 730,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,721 : 338,377 = 338,377 : x
  2. Step 2: Convert to fraction form
    156,721/338,377 = 338,377/x
  3. Step 3: Cross multiply
    156,721x = 338,377 × 338,377
  4. Step 4: Simplify right side
    156,721x = 114,498,994,129
  5. Step 5: Solve for x
    x = 114,498,994,129/156,721
  6. Step 6: Final answer
    x = 730,591.27

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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.