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Finding the Third Proportional to 389,610 and 622,398

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Solution

The third proportional to 389,610 and 622,398 is: 994,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,610 : 622,398 = 622,398 : x
  2. Step 2: Convert to fraction form
    389,610/622,398 = 622,398/x
  3. Step 3: Cross multiply
    389,610x = 622,398 × 622,398
  4. Step 4: Simplify right side
    389,610x = 387,379,270,404
  5. Step 5: Solve for x
    x = 387,379,270,404/389,610
  6. Step 6: Final answer
    x = 994,274.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.