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Finding the Third Proportional to 178,628,867 and 386,940,324

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Solution

The third proportional to 178,628,867 and 386,940,324 is: 838,178,155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,628,867 : 386,940,324 = 386,940,324 : x
  2. Step 2: Convert to fraction form
    178,628,867/386,940,324 = 386,940,324/x
  3. Step 3: Cross multiply
    178,628,867x = 386,940,324 × 386,940,324
  4. Step 4: Simplify right side
    178,628,867x = 149,722,814,337,224,960
  5. Step 5: Solve for x
    x = 149,722,814,337,224,960/178,628,867
  6. Step 6: Final answer
    x = 838,178,155.93

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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.