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Finding the Third Proportional to 189,481.50 and 411,120

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Solution

The third proportional to 189,481.50 and 411,120 is: 892,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,481.50 : 411,120 = 411,120 : x
  2. Step 2: Convert to fraction form
    189,481.50/411,120 = 411,120/x
  3. Step 3: Cross multiply
    189,481.50x = 411,120 × 411,120
  4. Step 4: Simplify right side
    189,481.50x = 169,019,654,400
  5. Step 5: Solve for x
    x = 169,019,654,400/189,481.50
  6. Step 6: Final answer
    x = 892,011.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.