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Finding the Third Proportional to 178,646,762 and 386,972,238

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Solution

The third proportional to 178,646,762 and 386,972,238 is: 838,232,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,646,762 : 386,972,238 = 386,972,238 : x
  2. Step 2: Convert to fraction form
    178,646,762/386,972,238 = 386,972,238/x
  3. Step 3: Cross multiply
    178,646,762x = 386,972,238 × 386,972,238
  4. Step 4: Simplify right side
    178,646,762x = 149,747,512,982,728,640
  5. Step 5: Solve for x
    x = 149,747,512,982,728,640/178,646,762
  6. Step 6: Final answer
    x = 838,232,449.93

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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.