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Finding the Third Proportional to 236,660 and 519,218

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Solution

The third proportional to 236,660 and 519,218 is: 1,139,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,660 : 519,218 = 519,218 : x
  2. Step 2: Convert to fraction form
    236,660/519,218 = 519,218/x
  3. Step 3: Cross multiply
    236,660x = 519,218 × 519,218
  4. Step 4: Simplify right side
    236,660x = 269,587,331,524
  5. Step 5: Solve for x
    x = 269,587,331,524/236,660
  6. Step 6: Final answer
    x = 1,139,133.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.