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Finding the Third Proportional to 52,848 and 114,408

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Solution

The third proportional to 52,848 and 114,408 is: 247,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,848 : 114,408 = 114,408 : x
  2. Step 2: Convert to fraction form
    52,848/114,408 = 114,408/x
  3. Step 3: Cross multiply
    52,848x = 114,408 × 114,408
  4. Step 4: Simplify right side
    52,848x = 13,089,190,464
  5. Step 5: Solve for x
    x = 13,089,190,464/52,848
  6. Step 6: Final answer
    x = 247,676.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.