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Finding the Third Proportional to 178,628,876 and 386,940,339

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Solution

The third proportional to 178,628,876 and 386,940,339 is: 838,178,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,628,876 : 386,940,339 = 386,940,339 : x
  2. Step 2: Convert to fraction form
    178,628,876/386,940,339 = 386,940,339/x
  3. Step 3: Cross multiply
    178,628,876x = 386,940,339 × 386,940,339
  4. Step 4: Simplify right side
    178,628,876x = 149,722,825,945,434,912
  5. Step 5: Solve for x
    x = 149,722,825,945,434,912/178,628,876
  6. Step 6: Final answer
    x = 838,178,178.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.