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Finding the Third Proportional to 156,976 and 343,109

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Solution

The third proportional to 156,976 and 343,109 is: 749,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,976 : 343,109 = 343,109 : x
  2. Step 2: Convert to fraction form
    156,976/343,109 = 343,109/x
  3. Step 3: Cross multiply
    156,976x = 343,109 × 343,109
  4. Step 4: Simplify right side
    156,976x = 117,723,785,881
  5. Step 5: Solve for x
    x = 117,723,785,881/156,976
  6. Step 6: Final answer
    x = 749,947.67

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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.