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Finding the Third Proportional to 189,084 and 406,845

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Solution

The third proportional to 189,084 and 406,845 is: 875,393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,084 : 406,845 = 406,845 : x
  2. Step 2: Convert to fraction form
    189,084/406,845 = 406,845/x
  3. Step 3: Cross multiply
    189,084x = 406,845 × 406,845
  4. Step 4: Simplify right side
    189,084x = 165,522,854,025
  5. Step 5: Solve for x
    x = 165,522,854,025/189,084
  6. Step 6: Final answer
    x = 875,393.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.