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Finding the Third Proportional to 215,821 and 337,821

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Solution

The third proportional to 215,821 and 337,821 is: 528,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,821 : 337,821 = 337,821 : x
  2. Step 2: Convert to fraction form
    215,821/337,821 = 337,821/x
  3. Step 3: Cross multiply
    215,821x = 337,821 × 337,821
  4. Step 4: Simplify right side
    215,821x = 114,123,028,041
  5. Step 5: Solve for x
    x = 114,123,028,041/215,821
  6. Step 6: Final answer
    x = 528,785.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.