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Finding the Third Proportional to 209,109 and 445,191

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Solution

The third proportional to 209,109 and 445,191 is: 947,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,109 : 445,191 = 445,191 : x
  2. Step 2: Convert to fraction form
    209,109/445,191 = 445,191/x
  3. Step 3: Cross multiply
    209,109x = 445,191 × 445,191
  4. Step 4: Simplify right side
    209,109x = 198,195,026,481
  5. Step 5: Solve for x
    x = 198,195,026,481/209,109
  6. Step 6: Final answer
    x = 947,807.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.