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Finding the Third Proportional to 210,847 and 318,903

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Solution

The third proportional to 210,847 and 318,903 is: 482,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,847 : 318,903 = 318,903 : x
  2. Step 2: Convert to fraction form
    210,847/318,903 = 318,903/x
  3. Step 3: Cross multiply
    210,847x = 318,903 × 318,903
  4. Step 4: Simplify right side
    210,847x = 101,699,123,409
  5. Step 5: Solve for x
    x = 101,699,123,409/210,847
  6. Step 6: Final answer
    x = 482,336.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.