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Finding the Third Proportional to 236,365 and 518,651

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Solution

The third proportional to 236,365 and 518,651 is: 1,138,065.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,365 : 518,651 = 518,651 : x
  2. Step 2: Convert to fraction form
    236,365/518,651 = 518,651/x
  3. Step 3: Cross multiply
    236,365x = 518,651 × 518,651
  4. Step 4: Simplify right side
    236,365x = 268,998,859,801
  5. Step 5: Solve for x
    x = 268,998,859,801/236,365
  6. Step 6: Final answer
    x = 1,138,065.53

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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.