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Finding the Third Proportional to 209,102 and 445,178

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Solution

The third proportional to 209,102 and 445,178 is: 947,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,102 : 445,178 = 445,178 : x
  2. Step 2: Convert to fraction form
    209,102/445,178 = 445,178/x
  3. Step 3: Cross multiply
    209,102x = 445,178 × 445,178
  4. Step 4: Simplify right side
    209,102x = 198,183,451,684
  5. Step 5: Solve for x
    x = 198,183,451,684/209,102
  6. Step 6: Final answer
    x = 947,783.63

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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.