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Finding the Third Proportional to 136,809 and 218,550.66

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Solution

The third proportional to 136,809 and 218,550.66 is: 349,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,809 : 218,550.66 = 218,550.66 : x
  2. Step 2: Convert to fraction form
    136,809/218,550.66 = 218,550.66/x
  3. Step 3: Cross multiply
    136,809x = 218,550.66 × 218,550.66
  4. Step 4: Simplify right side
    136,809x = 47,764,389,347.31
  5. Step 5: Solve for x
    x = 47,764,389,347.31/136,809
  6. Step 6: Final answer
    x = 349,131.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.