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Finding the Third Proportional to 189,945 and 406,242

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Solution

The third proportional to 189,945 and 406,242 is: 868,843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,945 : 406,242 = 406,242 : x
  2. Step 2: Convert to fraction form
    189,945/406,242 = 406,242/x
  3. Step 3: Cross multiply
    189,945x = 406,242 × 406,242
  4. Step 4: Simplify right side
    189,945x = 165,032,562,564
  5. Step 5: Solve for x
    x = 165,032,562,564/189,945
  6. Step 6: Final answer
    x = 868,843.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.