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Finding the Third Proportional to 51,220,272 and 78,131,232

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Solution

The third proportional to 51,220,272 and 78,131,232 is: 119,181,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,220,272 : 78,131,232 = 78,131,232 : x
  2. Step 2: Convert to fraction form
    51,220,272/78,131,232 = 78,131,232/x
  3. Step 3: Cross multiply
    51,220,272x = 78,131,232 × 78,131,232
  4. Step 4: Simplify right side
    51,220,272x = 6,104,489,413,837,824
  5. Step 5: Solve for x
    x = 6,104,489,413,837,824/51,220,272
  6. Step 6: Final answer
    x = 119,181,120.59

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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.