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Finding the Third Proportional to 156,793 and 343,609

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Solution

The third proportional to 156,793 and 343,609 is: 753,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,793 : 343,609 = 343,609 : x
  2. Step 2: Convert to fraction form
    156,793/343,609 = 343,609/x
  3. Step 3: Cross multiply
    156,793x = 343,609 × 343,609
  4. Step 4: Simplify right side
    156,793x = 118,067,144,881
  5. Step 5: Solve for x
    x = 118,067,144,881/156,793
  6. Step 6: Final answer
    x = 753,012.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.