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Finding the Third Proportional to 180,351 and 384,828

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Solution

The third proportional to 180,351 and 384,828 is: 821,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,351 : 384,828 = 384,828 : x
  2. Step 2: Convert to fraction form
    180,351/384,828 = 384,828/x
  3. Step 3: Cross multiply
    180,351x = 384,828 × 384,828
  4. Step 4: Simplify right side
    180,351x = 148,092,589,584
  5. Step 5: Solve for x
    x = 148,092,589,584/180,351
  6. Step 6: Final answer
    x = 821,135.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.