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Finding the Third Proportional to 189,880 and 409,782

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Solution

The third proportional to 189,880 and 409,782 is: 884,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,880 : 409,782 = 409,782 : x
  2. Step 2: Convert to fraction form
    189,880/409,782 = 409,782/x
  3. Step 3: Cross multiply
    189,880x = 409,782 × 409,782
  4. Step 4: Simplify right side
    189,880x = 167,921,287,524
  5. Step 5: Solve for x
    x = 167,921,287,524/189,880
  6. Step 6: Final answer
    x = 884,354.79

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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.