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Finding the Third Proportional to 408,456 and 621,324

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Solution

The third proportional to 408,456 and 621,324 is: 945,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,456 : 621,324 = 621,324 : x
  2. Step 2: Convert to fraction form
    408,456/621,324 = 621,324/x
  3. Step 3: Cross multiply
    408,456x = 621,324 × 621,324
  4. Step 4: Simplify right side
    408,456x = 386,043,512,976
  5. Step 5: Solve for x
    x = 386,043,512,976/408,456
  6. Step 6: Final answer
    x = 945,128.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.