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Finding the Third Proportional to 189,409 and 420,859

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Solution

The third proportional to 189,409 and 420,859 is: 935,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,409 : 420,859 = 420,859 : x
  2. Step 2: Convert to fraction form
    189,409/420,859 = 420,859/x
  3. Step 3: Cross multiply
    189,409x = 420,859 × 420,859
  4. Step 4: Simplify right side
    189,409x = 177,122,297,881
  5. Step 5: Solve for x
    x = 177,122,297,881/189,409
  6. Step 6: Final answer
    x = 935,131.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.