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Finding the Third Proportional to 236,036 and 518,728

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Solution

The third proportional to 236,036 and 518,728 is: 1,139,990.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,036 : 518,728 = 518,728 : x
  2. Step 2: Convert to fraction form
    236,036/518,728 = 518,728/x
  3. Step 3: Cross multiply
    236,036x = 518,728 × 518,728
  4. Step 4: Simplify right side
    236,036x = 269,078,737,984
  5. Step 5: Solve for x
    x = 269,078,737,984/236,036
  6. Step 6: Final answer
    x = 1,139,990.25

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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.