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Finding the Third Proportional to 313,634 and 679,108

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Solution

The third proportional to 313,634 and 679,108 is: 1,470,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,634 : 679,108 = 679,108 : x
  2. Step 2: Convert to fraction form
    313,634/679,108 = 679,108/x
  3. Step 3: Cross multiply
    313,634x = 679,108 × 679,108
  4. Step 4: Simplify right side
    313,634x = 461,187,675,664
  5. Step 5: Solve for x
    x = 461,187,675,664/313,634
  6. Step 6: Final answer
    x = 1,470,464.54

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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.