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Finding the Third Proportional to 236,361.38 and 518,643

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Solution

The third proportional to 236,361.38 and 518,643 is: 1,138,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,361.38 : 518,643 = 518,643 : x
  2. Step 2: Convert to fraction form
    236,361.38/518,643 = 518,643/x
  3. Step 3: Cross multiply
    236,361.38x = 518,643 × 518,643
  4. Step 4: Simplify right side
    236,361.38x = 268,990,561,449
  5. Step 5: Solve for x
    x = 268,990,561,449/236,361.38
  6. Step 6: Final answer
    x = 1,138,047.88

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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.