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Finding the Third Proportional to 78,197,109.75 and 168,504,286.50

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Solution

The third proportional to 78,197,109.75 and 168,504,286.50 is: 363,104,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,197,109.75 : 168,504,286.50 = 168,504,286.50 : x
  2. Step 2: Convert to fraction form
    78,197,109.75/168,504,286.50 = 168,504,286.50/x
  3. Step 3: Cross multiply
    78,197,109.75x = 168,504,286.50 × 168,504,286.50
  4. Step 4: Simplify right side
    78,197,109.75x = 28,393,694,568,874,084
  5. Step 5: Solve for x
    x = 28,393,694,568,874,084/78,197,109.75
  6. Step 6: Final answer
    x = 363,104,143.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.