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Finding the Third Proportional to 52,936 and 114,619

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Solution

The third proportional to 52,936 and 114,619 is: 248,177.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,936 : 114,619 = 114,619 : x
  2. Step 2: Convert to fraction form
    52,936/114,619 = 114,619/x
  3. Step 3: Cross multiply
    52,936x = 114,619 × 114,619
  4. Step 4: Simplify right side
    52,936x = 13,137,515,161
  5. Step 5: Solve for x
    x = 13,137,515,161/52,936
  6. Step 6: Final answer
    x = 248,177.33

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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.