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Finding the Third Proportional to 188,538 and 390,204

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Solution

The third proportional to 188,538 and 390,204 is: 807,578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,538 : 390,204 = 390,204 : x
  2. Step 2: Convert to fraction form
    188,538/390,204 = 390,204/x
  3. Step 3: Cross multiply
    188,538x = 390,204 × 390,204
  4. Step 4: Simplify right side
    188,538x = 152,259,161,616
  5. Step 5: Solve for x
    x = 152,259,161,616/188,538
  6. Step 6: Final answer
    x = 807,578.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.