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Finding the Third Proportional to 54,087 and 115,647

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Solution

The third proportional to 54,087 and 115,647 is: 247,272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,087 : 115,647 = 115,647 : x
  2. Step 2: Convert to fraction form
    54,087/115,647 = 115,647/x
  3. Step 3: Cross multiply
    54,087x = 115,647 × 115,647
  4. Step 4: Simplify right side
    54,087x = 13,374,228,609
  5. Step 5: Solve for x
    x = 13,374,228,609/54,087
  6. Step 6: Final answer
    x = 247,272.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.