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Finding the Third Proportional to 408,024 and 612,393

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Solution

The third proportional to 408,024 and 612,393 is: 919,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,024 : 612,393 = 612,393 : x
  2. Step 2: Convert to fraction form
    408,024/612,393 = 612,393/x
  3. Step 3: Cross multiply
    408,024x = 612,393 × 612,393
  4. Step 4: Simplify right side
    408,024x = 375,025,186,449
  5. Step 5: Solve for x
    x = 375,025,186,449/408,024
  6. Step 6: Final answer
    x = 919,125.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.