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Finding the Third Proportional to 100,729.13 and 215,286.75

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Solution

The third proportional to 100,729.13 and 215,286.75 is: 460,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,729.13 : 215,286.75 = 215,286.75 : x
  2. Step 2: Convert to fraction form
    100,729.13/215,286.75 = 215,286.75/x
  3. Step 3: Cross multiply
    100,729.13x = 215,286.75 × 215,286.75
  4. Step 4: Simplify right side
    100,729.13x = 46,348,384,725.56
  5. Step 5: Solve for x
    x = 46,348,384,725.56/100,729.13
  6. Step 6: Final answer
    x = 460,128.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.