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Finding the Third Proportional to 207,868 and 323,970

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Solution

The third proportional to 207,868 and 323,970 is: 504,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,868 : 323,970 = 323,970 : x
  2. Step 2: Convert to fraction form
    207,868/323,970 = 323,970/x
  3. Step 3: Cross multiply
    207,868x = 323,970 × 323,970
  4. Step 4: Simplify right side
    207,868x = 104,956,560,900
  5. Step 5: Solve for x
    x = 104,956,560,900/207,868
  6. Step 6: Final answer
    x = 504,919.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.