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Finding the Third Proportional to 236,288 and 518,502

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Solution

The third proportional to 236,288 and 518,502 is: 1,137,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,288 : 518,502 = 518,502 : x
  2. Step 2: Convert to fraction form
    236,288/518,502 = 518,502/x
  3. Step 3: Cross multiply
    236,288x = 518,502 × 518,502
  4. Step 4: Simplify right side
    236,288x = 268,844,324,004
  5. Step 5: Solve for x
    x = 268,844,324,004/236,288
  6. Step 6: Final answer
    x = 1,137,782.38

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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.