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Finding the Third Proportional to 189,342 and 408,195

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Solution

The third proportional to 189,342 and 408,195 is: 880,011.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,342 : 408,195 = 408,195 : x
  2. Step 2: Convert to fraction form
    189,342/408,195 = 408,195/x
  3. Step 3: Cross multiply
    189,342x = 408,195 × 408,195
  4. Step 4: Simplify right side
    189,342x = 166,623,158,025
  5. Step 5: Solve for x
    x = 166,623,158,025/189,342
  6. Step 6: Final answer
    x = 880,011.61

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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.