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Finding the Third Proportional to 183,631 and 389,308

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Solution

The third proportional to 183,631 and 389,308 is: 825,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,631 : 389,308 = 389,308 : x
  2. Step 2: Convert to fraction form
    183,631/389,308 = 389,308/x
  3. Step 3: Cross multiply
    183,631x = 389,308 × 389,308
  4. Step 4: Simplify right side
    183,631x = 151,560,718,864
  5. Step 5: Solve for x
    x = 151,560,718,864/183,631
  6. Step 6: Final answer
    x = 825,354.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.