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Finding the Third Proportional to 304,678 and 445,245

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Solution

The third proportional to 304,678 and 445,245 is: 650,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,678 : 445,245 = 445,245 : x
  2. Step 2: Convert to fraction form
    304,678/445,245 = 445,245/x
  3. Step 3: Cross multiply
    304,678x = 445,245 × 445,245
  4. Step 4: Simplify right side
    304,678x = 198,243,110,025
  5. Step 5: Solve for x
    x = 198,243,110,025/304,678
  6. Step 6: Final answer
    x = 650,664.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.