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Finding the Third Proportional to 50,512,108 and 109,095,272

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Solution

The third proportional to 50,512,108 and 109,095,272 is: 235,622,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,512,108 : 109,095,272 = 109,095,272 : x
  2. Step 2: Convert to fraction form
    50,512,108/109,095,272 = 109,095,272/x
  3. Step 3: Cross multiply
    50,512,108x = 109,095,272 × 109,095,272
  4. Step 4: Simplify right side
    50,512,108x = 11,901,778,372,753,984
  5. Step 5: Solve for x
    x = 11,901,778,372,753,984/50,512,108
  6. Step 6: Final answer
    x = 235,622,286.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.