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Finding the Third Proportional to 160,839 and 343,456

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Solution

The third proportional to 160,839 and 343,456 is: 733,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,839 : 343,456 = 343,456 : x
  2. Step 2: Convert to fraction form
    160,839/343,456 = 343,456/x
  3. Step 3: Cross multiply
    160,839x = 343,456 × 343,456
  4. Step 4: Simplify right side
    160,839x = 117,962,023,936
  5. Step 5: Solve for x
    x = 117,962,023,936/160,839
  6. Step 6: Final answer
    x = 733,416.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.