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Finding the Third Proportional to 285,744 and 622,280

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Solution

The third proportional to 285,744 and 622,280 is: 1,355,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,744 : 622,280 = 622,280 : x
  2. Step 2: Convert to fraction form
    285,744/622,280 = 622,280/x
  3. Step 3: Cross multiply
    285,744x = 622,280 × 622,280
  4. Step 4: Simplify right side
    285,744x = 387,232,398,400
  5. Step 5: Solve for x
    x = 387,232,398,400/285,744
  6. Step 6: Final answer
    x = 1,355,172.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.