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Finding the Third Proportional to 236,447 and 518,830

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Solution

The third proportional to 236,447 and 518,830 is: 1,138,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,447 : 518,830 = 518,830 : x
  2. Step 2: Convert to fraction form
    236,447/518,830 = 518,830/x
  3. Step 3: Cross multiply
    236,447x = 518,830 × 518,830
  4. Step 4: Simplify right side
    236,447x = 269,184,568,900
  5. Step 5: Solve for x
    x = 269,184,568,900/236,447
  6. Step 6: Final answer
    x = 1,138,456.27

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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.