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Finding the Third Proportional to 283,425 and 622,140

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Solution

The third proportional to 283,425 and 622,140 is: 1,365,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,425 : 622,140 = 622,140 : x
  2. Step 2: Convert to fraction form
    283,425/622,140 = 622,140/x
  3. Step 3: Cross multiply
    283,425x = 622,140 × 622,140
  4. Step 4: Simplify right side
    283,425x = 387,058,179,600
  5. Step 5: Solve for x
    x = 387,058,179,600/283,425
  6. Step 6: Final answer
    x = 1,365,645.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.