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Finding the Third Proportional to 52,552 and 113,848

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Solution

The third proportional to 52,552 and 113,848 is: 246,638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,552 : 113,848 = 113,848 : x
  2. Step 2: Convert to fraction form
    52,552/113,848 = 113,848/x
  3. Step 3: Cross multiply
    52,552x = 113,848 × 113,848
  4. Step 4: Simplify right side
    52,552x = 12,961,367,104
  5. Step 5: Solve for x
    x = 12,961,367,104/52,552
  6. Step 6: Final answer
    x = 246,638.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.