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Finding the Third Proportional to 52,497 and 113,741

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Solution

The third proportional to 52,497 and 113,741 is: 246,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,497 : 113,741 = 113,741 : x
  2. Step 2: Convert to fraction form
    52,497/113,741 = 113,741/x
  3. Step 3: Cross multiply
    52,497x = 113,741 × 113,741
  4. Step 4: Simplify right side
    52,497x = 12,937,015,081
  5. Step 5: Solve for x
    x = 12,937,015,081/52,497
  6. Step 6: Final answer
    x = 246,433.42

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Why These Related Problems?

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