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Finding the Third Proportional to 178,305,249 and 388,264,965

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Solution

The third proportional to 178,305,249 and 388,264,965 is: 845,458,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,305,249 : 388,264,965 = 388,264,965 : x
  2. Step 2: Convert to fraction form
    178,305,249/388,264,965 = 388,264,965/x
  3. Step 3: Cross multiply
    178,305,249x = 388,264,965 × 388,264,965
  4. Step 4: Simplify right side
    178,305,249x = 150,749,683,046,451,232
  5. Step 5: Solve for x
    x = 150,749,683,046,451,232/178,305,249
  6. Step 6: Final answer
    x = 845,458,470.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.