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Finding the Third Proportional to 218,143.13 and 335,188.13

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Solution

The third proportional to 218,143.13 and 335,188.13 is: 515,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,143.13 : 335,188.13 = 335,188.13 : x
  2. Step 2: Convert to fraction form
    218,143.13/335,188.13 = 335,188.13/x
  3. Step 3: Cross multiply
    218,143.13x = 335,188.13 × 335,188.13
  4. Step 4: Simplify right side
    218,143.13x = 112,351,079,141.02
  5. Step 5: Solve for x
    x = 112,351,079,141.02/218,143.13
  6. Step 6: Final answer
    x = 515,033.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.