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Finding the Third Proportional to 178,305,247 and 388,264,961

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Solution

The third proportional to 178,305,247 and 388,264,961 is: 845,458,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,305,247 : 388,264,961 = 388,264,961 : x
  2. Step 2: Convert to fraction form
    178,305,247/388,264,961 = 388,264,961/x
  3. Step 3: Cross multiply
    178,305,247x = 388,264,961 × 388,264,961
  4. Step 4: Simplify right side
    178,305,247x = 150,749,679,940,331,520
  5. Step 5: Solve for x
    x = 150,749,679,940,331,520/178,305,247
  6. Step 6: Final answer
    x = 845,458,462.25

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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.