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Finding the Third Proportional to 189,395 and 408,833

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Solution

The third proportional to 189,395 and 408,833 is: 882,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,395 : 408,833 = 408,833 : x
  2. Step 2: Convert to fraction form
    189,395/408,833 = 408,833/x
  3. Step 3: Cross multiply
    189,395x = 408,833 × 408,833
  4. Step 4: Simplify right side
    189,395x = 167,144,421,889
  5. Step 5: Solve for x
    x = 167,144,421,889/189,395
  6. Step 6: Final answer
    x = 882,517.61

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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.