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Finding the Third Proportional to 481,530 and 644,208

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Solution

The third proportional to 481,530 and 644,208 is: 861,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,530 : 644,208 = 644,208 : x
  2. Step 2: Convert to fraction form
    481,530/644,208 = 644,208/x
  3. Step 3: Cross multiply
    481,530x = 644,208 × 644,208
  4. Step 4: Simplify right side
    481,530x = 415,003,947,264
  5. Step 5: Solve for x
    x = 415,003,947,264/481,530
  6. Step 6: Final answer
    x = 861,844.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.