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Finding the Third Proportional to 172,787,100.75 and 380,793,716.25

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Solution

The third proportional to 172,787,100.75 and 380,793,716.25 is: 839,205,320.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,787,100.75 : 380,793,716.25 = 380,793,716.25 : x
  2. Step 2: Convert to fraction form
    172,787,100.75/380,793,716.25 = 380,793,716.25/x
  3. Step 3: Cross multiply
    172,787,100.75x = 380,793,716.25 × 380,793,716.25
  4. Step 4: Simplify right side
    172,787,100.75x = 145,003,854,335,485,504
  5. Step 5: Solve for x
    x = 145,003,854,335,485,504/172,787,100.75
  6. Step 6: Final answer
    x = 839,205,320.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.