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Finding the Third Proportional to 136,743 and 206,940

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Solution

The third proportional to 136,743 and 206,940 is: 313,172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,743 : 206,940 = 206,940 : x
  2. Step 2: Convert to fraction form
    136,743/206,940 = 206,940/x
  3. Step 3: Cross multiply
    136,743x = 206,940 × 206,940
  4. Step 4: Simplify right side
    136,743x = 42,824,163,600
  5. Step 5: Solve for x
    x = 42,824,163,600/136,743
  6. Step 6: Final answer
    x = 313,172.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.