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Finding the Third Proportional to 236,376 and 518,679

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Solution

The third proportional to 236,376 and 518,679 is: 1,138,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,376 : 518,679 = 518,679 : x
  2. Step 2: Convert to fraction form
    236,376/518,679 = 518,679/x
  3. Step 3: Cross multiply
    236,376x = 518,679 × 518,679
  4. Step 4: Simplify right side
    236,376x = 269,027,905,041
  5. Step 5: Solve for x
    x = 269,027,905,041/236,376
  6. Step 6: Final answer
    x = 1,138,135.45

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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.