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Finding the Third Proportional to 136,761 and 206,973

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Solution

The third proportional to 136,761 and 206,973 is: 313,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,761 : 206,973 = 206,973 : x
  2. Step 2: Convert to fraction form
    136,761/206,973 = 206,973/x
  3. Step 3: Cross multiply
    136,761x = 206,973 × 206,973
  4. Step 4: Simplify right side
    136,761x = 42,837,822,729
  5. Step 5: Solve for x
    x = 42,837,822,729/136,761
  6. Step 6: Final answer
    x = 313,231.28

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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.