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Finding the Third Proportional to 308,561,760 and 658,970,856

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Solution

The third proportional to 308,561,760 and 658,970,856 is: 1,407,311,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,561,760 : 658,970,856 = 658,970,856 : x
  2. Step 2: Convert to fraction form
    308,561,760/658,970,856 = 658,970,856/x
  3. Step 3: Cross multiply
    308,561,760x = 658,970,856 × 658,970,856
  4. Step 4: Simplify right side
    308,561,760x = 434,242,589,057,372,736
  5. Step 5: Solve for x
    x = 434,242,589,057,372,736/308,561,760
  6. Step 6: Final answer
    x = 1,407,311,745.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.