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Finding the Third Proportional to 313,900 and 679,956

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Solution

The third proportional to 313,900 and 679,956 is: 1,472,889.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,900 : 679,956 = 679,956 : x
  2. Step 2: Convert to fraction form
    313,900/679,956 = 679,956/x
  3. Step 3: Cross multiply
    313,900x = 679,956 × 679,956
  4. Step 4: Simplify right side
    313,900x = 462,340,161,936
  5. Step 5: Solve for x
    x = 462,340,161,936/313,900
  6. Step 6: Final answer
    x = 1,472,889.97

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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.