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Finding the Third Proportional to 156,636 and 343,890

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Solution

The third proportional to 156,636 and 343,890 is: 755,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,636 : 343,890 = 343,890 : x
  2. Step 2: Convert to fraction form
    156,636/343,890 = 343,890/x
  3. Step 3: Cross multiply
    156,636x = 343,890 × 343,890
  4. Step 4: Simplify right side
    156,636x = 118,260,332,100
  5. Step 5: Solve for x
    x = 118,260,332,100/156,636
  6. Step 6: Final answer
    x = 755,000.97

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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.