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Finding the Third Proportional to 313,646 and 679,132

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Solution

The third proportional to 313,646 and 679,132 is: 1,470,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,646 : 679,132 = 679,132 : x
  2. Step 2: Convert to fraction form
    313,646/679,132 = 679,132/x
  3. Step 3: Cross multiply
    313,646x = 679,132 × 679,132
  4. Step 4: Simplify right side
    313,646x = 461,220,273,424
  5. Step 5: Solve for x
    x = 461,220,273,424/313,646
  6. Step 6: Final answer
    x = 1,470,512.21

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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.