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Finding the Third Proportional to 180,341 and 387,838

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Solution

The third proportional to 180,341 and 387,838 is: 834,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,341 : 387,838 = 387,838 : x
  2. Step 2: Convert to fraction form
    180,341/387,838 = 387,838/x
  3. Step 3: Cross multiply
    180,341x = 387,838 × 387,838
  4. Step 4: Simplify right side
    180,341x = 150,418,314,244
  5. Step 5: Solve for x
    x = 150,418,314,244/180,341
  6. Step 6: Final answer
    x = 834,077.19

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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.