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Finding the Third Proportional to 189,108 and 288,684

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Solution

The third proportional to 189,108 and 288,684 is: 440,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,108 : 288,684 = 288,684 : x
  2. Step 2: Convert to fraction form
    189,108/288,684 = 288,684/x
  3. Step 3: Cross multiply
    189,108x = 288,684 × 288,684
  4. Step 4: Simplify right side
    189,108x = 83,338,451,856
  5. Step 5: Solve for x
    x = 83,338,451,856/189,108
  6. Step 6: Final answer
    x = 440,692.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.