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Finding the Third Proportional to 115,686 and 251,892

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Solution

The third proportional to 115,686 and 251,892 is: 548,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,686 : 251,892 = 251,892 : x
  2. Step 2: Convert to fraction form
    115,686/251,892 = 251,892/x
  3. Step 3: Cross multiply
    115,686x = 251,892 × 251,892
  4. Step 4: Simplify right side
    115,686x = 63,449,579,664
  5. Step 5: Solve for x
    x = 63,449,579,664/115,686
  6. Step 6: Final answer
    x = 548,463.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.