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Finding the Third Proportional to 313,848 and 679,216

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Solution

The third proportional to 313,848 and 679,216 is: 1,469,929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,848 : 679,216 = 679,216 : x
  2. Step 2: Convert to fraction form
    313,848/679,216 = 679,216/x
  3. Step 3: Cross multiply
    313,848x = 679,216 × 679,216
  4. Step 4: Simplify right side
    313,848x = 461,334,374,656
  5. Step 5: Solve for x
    x = 461,334,374,656/313,848
  6. Step 6: Final answer
    x = 1,469,929.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.