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Finding the Third Proportional to 392,650 and 622,749

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Solution

The third proportional to 392,650 and 622,749 is: 987,689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,650 : 622,749 = 622,749 : x
  2. Step 2: Convert to fraction form
    392,650/622,749 = 622,749/x
  3. Step 3: Cross multiply
    392,650x = 622,749 × 622,749
  4. Step 4: Simplify right side
    392,650x = 387,816,317,001
  5. Step 5: Solve for x
    x = 387,816,317,001/392,650
  6. Step 6: Final answer
    x = 987,689.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.