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Finding the Third Proportional to 189,728 and 413,800

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Solution

The third proportional to 189,728 and 413,800 is: 902,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,728 : 413,800 = 413,800 : x
  2. Step 2: Convert to fraction form
    189,728/413,800 = 413,800/x
  3. Step 3: Cross multiply
    189,728x = 413,800 × 413,800
  4. Step 4: Simplify right side
    189,728x = 171,230,440,000
  5. Step 5: Solve for x
    x = 171,230,440,000/189,728
  6. Step 6: Final answer
    x = 902,504.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.