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Finding the Third Proportional to 54,578,978 and 119,412,556

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Solution

The third proportional to 54,578,978 and 119,412,556 is: 261,261,002.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,578,978 : 119,412,556 = 119,412,556 : x
  2. Step 2: Convert to fraction form
    54,578,978/119,412,556 = 119,412,556/x
  3. Step 3: Cross multiply
    54,578,978x = 119,412,556 × 119,412,556
  4. Step 4: Simplify right side
    54,578,978x = 14,259,358,530,453,136
  5. Step 5: Solve for x
    x = 14,259,358,530,453,136/54,578,978
  6. Step 6: Final answer
    x = 261,261,002.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.