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Finding the Third Proportional to 236,469 and 518,928

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Solution

The third proportional to 236,469 and 518,928 is: 1,138,780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,469 : 518,928 = 518,928 : x
  2. Step 2: Convert to fraction form
    236,469/518,928 = 518,928/x
  3. Step 3: Cross multiply
    236,469x = 518,928 × 518,928
  4. Step 4: Simplify right side
    236,469x = 269,286,269,184
  5. Step 5: Solve for x
    x = 269,286,269,184/236,469
  6. Step 6: Final answer
    x = 1,138,780.43

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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.