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Finding the Third Proportional to 52,568 and 114,848

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Solution

The third proportional to 52,568 and 114,848 is: 250,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,568 : 114,848 = 114,848 : x
  2. Step 2: Convert to fraction form
    52,568/114,848 = 114,848/x
  3. Step 3: Cross multiply
    52,568x = 114,848 × 114,848
  4. Step 4: Simplify right side
    52,568x = 13,190,063,104
  5. Step 5: Solve for x
    x = 13,190,063,104/52,568
  6. Step 6: Final answer
    x = 250,914.30

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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.