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Finding the Third Proportional to 156,620 and 343,857

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Solution

The third proportional to 156,620 and 343,857 is: 754,933.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,620 : 343,857 = 343,857 : x
  2. Step 2: Convert to fraction form
    156,620/343,857 = 343,857/x
  3. Step 3: Cross multiply
    156,620x = 343,857 × 343,857
  4. Step 4: Simplify right side
    156,620x = 118,237,636,449
  5. Step 5: Solve for x
    x = 118,237,636,449/156,620
  6. Step 6: Final answer
    x = 754,933.19

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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.