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Finding the Third Proportional to 180,521 and 388,197

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Solution

The third proportional to 180,521 and 388,197 is: 834,788.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,521 : 388,197 = 388,197 : x
  2. Step 2: Convert to fraction form
    180,521/388,197 = 388,197/x
  3. Step 3: Cross multiply
    180,521x = 388,197 × 388,197
  4. Step 4: Simplify right side
    180,521x = 150,696,910,809
  5. Step 5: Solve for x
    x = 150,696,910,809/180,521
  6. Step 6: Final answer
    x = 834,788.81

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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.