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Finding the Third Proportional to 204,178,192 and 313,836,250

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Solution

The third proportional to 204,178,192 and 313,836,250 is: 482,388,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,178,192 : 313,836,250 = 313,836,250 : x
  2. Step 2: Convert to fraction form
    204,178,192/313,836,250 = 313,836,250/x
  3. Step 3: Cross multiply
    204,178,192x = 313,836,250 × 313,836,250
  4. Step 4: Simplify right side
    204,178,192x = 98,493,191,814,062,496
  5. Step 5: Solve for x
    x = 98,493,191,814,062,496/204,178,192
  6. Step 6: Final answer
    x = 482,388,402.25

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