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Finding the Third Proportional to 318,933 and 513,881

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Solution

The third proportional to 318,933 and 513,881 is: 827,991.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,933 : 513,881 = 513,881 : x
  2. Step 2: Convert to fraction form
    318,933/513,881 = 513,881/x
  3. Step 3: Cross multiply
    318,933x = 513,881 × 513,881
  4. Step 4: Simplify right side
    318,933x = 264,073,682,161
  5. Step 5: Solve for x
    x = 264,073,682,161/318,933
  6. Step 6: Final answer
    x = 827,991.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.