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Finding the Third Proportional to 138,380,278 and 194,649,296

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Solution

The third proportional to 138,380,278 and 194,649,296 is: 273,798,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,380,278 : 194,649,296 = 194,649,296 : x
  2. Step 2: Convert to fraction form
    138,380,278/194,649,296 = 194,649,296/x
  3. Step 3: Cross multiply
    138,380,278x = 194,649,296 × 194,649,296
  4. Step 4: Simplify right side
    138,380,278x = 37,888,348,433,295,616
  5. Step 5: Solve for x
    x = 37,888,348,433,295,616/138,380,278
  6. Step 6: Final answer
    x = 273,798,759.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.