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Finding the Third Proportional to 189,906 and 409,908

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Solution

The third proportional to 189,906 and 409,908 is: 884,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,906 : 409,908 = 409,908 : x
  2. Step 2: Convert to fraction form
    189,906/409,908 = 409,908/x
  3. Step 3: Cross multiply
    189,906x = 409,908 × 409,908
  4. Step 4: Simplify right side
    189,906x = 168,024,568,464
  5. Step 5: Solve for x
    x = 168,024,568,464/189,906
  6. Step 6: Final answer
    x = 884,777.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.