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Finding the Third Proportional to 172,262,611.13 and 378,005,910.75

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Solution

The third proportional to 172,262,611.13 and 378,005,910.75 is: 829,480,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,262,611.13 : 378,005,910.75 = 378,005,910.75 : x
  2. Step 2: Convert to fraction form
    172,262,611.13/378,005,910.75 = 378,005,910.75/x
  3. Step 3: Cross multiply
    172,262,611.13x = 378,005,910.75 × 378,005,910.75
  4. Step 4: Simplify right side
    172,262,611.13x = 142,888,468,561,936,960
  5. Step 5: Solve for x
    x = 142,888,468,561,936,960/172,262,611.13
  6. Step 6: Final answer
    x = 829,480,452.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.