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Finding the Third Proportional to 178,628,886 and 386,940,375

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Solution

The third proportional to 178,628,886 and 386,940,375 is: 838,178,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,628,886 : 386,940,375 = 386,940,375 : x
  2. Step 2: Convert to fraction form
    178,628,886/386,940,375 = 386,940,375/x
  3. Step 3: Cross multiply
    178,628,886x = 386,940,375 × 386,940,375
  4. Step 4: Simplify right side
    178,628,886x = 149,722,853,805,140,640
  5. Step 5: Solve for x
    x = 149,722,853,805,140,640/178,628,886
  6. Step 6: Final answer
    x = 838,178,287.72

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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.