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Finding the Third Proportional to 280,190 and 622,588

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Solution

The third proportional to 280,190 and 622,588 is: 1,383,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,190 : 622,588 = 622,588 : x
  2. Step 2: Convert to fraction form
    280,190/622,588 = 622,588/x
  3. Step 3: Cross multiply
    280,190x = 622,588 × 622,588
  4. Step 4: Simplify right side
    280,190x = 387,615,817,744
  5. Step 5: Solve for x
    x = 387,615,817,744/280,190
  6. Step 6: Final answer
    x = 1,383,403.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.