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Finding the Third Proportional to 180,932 and 396,424

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Solution

The third proportional to 180,932 and 396,424 is: 868,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,932 : 396,424 = 396,424 : x
  2. Step 2: Convert to fraction form
    180,932/396,424 = 396,424/x
  3. Step 3: Cross multiply
    180,932x = 396,424 × 396,424
  4. Step 4: Simplify right side
    180,932x = 157,151,987,776
  5. Step 5: Solve for x
    x = 157,151,987,776/180,932
  6. Step 6: Final answer
    x = 868,569.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.