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Finding the Third Proportional to 156,640 and 343,897

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Solution

The third proportional to 156,640 and 343,897 is: 755,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,640 : 343,897 = 343,897 : x
  2. Step 2: Convert to fraction form
    156,640/343,897 = 343,897/x
  3. Step 3: Cross multiply
    156,640x = 343,897 × 343,897
  4. Step 4: Simplify right side
    156,640x = 118,265,146,609
  5. Step 5: Solve for x
    x = 118,265,146,609/156,640
  6. Step 6: Final answer
    x = 755,012.43

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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.