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Finding the Third Proportional to 312,960,978 and 679,682,790

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Solution

The third proportional to 312,960,978 and 679,682,790 is: 1,476,122,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,960,978 : 679,682,790 = 679,682,790 : x
  2. Step 2: Convert to fraction form
    312,960,978/679,682,790 = 679,682,790/x
  3. Step 3: Cross multiply
    312,960,978x = 679,682,790 × 679,682,790
  4. Step 4: Simplify right side
    312,960,978x = 461,968,695,022,184,128
  5. Step 5: Solve for x
    x = 461,968,695,022,184,128/312,960,978
  6. Step 6: Final answer
    x = 1,476,122,352.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.