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Finding the Third Proportional to 50,766,118 and 77,338,903

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Solution

The third proportional to 50,766,118 and 77,338,903 is: 117,820,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,766,118 : 77,338,903 = 77,338,903 : x
  2. Step 2: Convert to fraction form
    50,766,118/77,338,903 = 77,338,903/x
  3. Step 3: Cross multiply
    50,766,118x = 77,338,903 × 77,338,903
  4. Step 4: Simplify right side
    50,766,118x = 5,981,305,917,243,409
  5. Step 5: Solve for x
    x = 5,981,305,917,243,409/50,766,118
  6. Step 6: Final answer
    x = 117,820,825.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.