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Finding the Third Proportional to 188,206 and 391,900

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Solution

The third proportional to 188,206 and 391,900 is: 816,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,206 : 391,900 = 391,900 : x
  2. Step 2: Convert to fraction form
    188,206/391,900 = 391,900/x
  3. Step 3: Cross multiply
    188,206x = 391,900 × 391,900
  4. Step 4: Simplify right side
    188,206x = 153,585,610,000
  5. Step 5: Solve for x
    x = 153,585,610,000/188,206
  6. Step 6: Final answer
    x = 816,050.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.