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Finding the Third Proportional to 136,723 and 213,990

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Solution

The third proportional to 136,723 and 213,990 is: 334,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,723 : 213,990 = 213,990 : x
  2. Step 2: Convert to fraction form
    136,723/213,990 = 213,990/x
  3. Step 3: Cross multiply
    136,723x = 213,990 × 213,990
  4. Step 4: Simplify right side
    136,723x = 45,791,720,100
  5. Step 5: Solve for x
    x = 45,791,720,100/136,723
  6. Step 6: Final answer
    x = 334,923.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.