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Finding the Third Proportional to 51,220,296 and 78,131,268

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Solution

The third proportional to 51,220,296 and 78,131,268 is: 119,181,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,220,296 : 78,131,268 = 78,131,268 : x
  2. Step 2: Convert to fraction form
    51,220,296/78,131,268 = 78,131,268/x
  3. Step 3: Cross multiply
    51,220,296x = 78,131,268 × 78,131,268
  4. Step 4: Simplify right side
    51,220,296x = 6,104,495,039,287,824
  5. Step 5: Solve for x
    x = 6,104,495,039,287,824/51,220,296
  6. Step 6: Final answer
    x = 119,181,174.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.