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Finding the Third Proportional to 51,885 and 78,036

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Solution

The third proportional to 51,885 and 78,036 is: 117,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,885 : 78,036 = 78,036 : x
  2. Step 2: Convert to fraction form
    51,885/78,036 = 78,036/x
  3. Step 3: Cross multiply
    51,885x = 78,036 × 78,036
  4. Step 4: Simplify right side
    51,885x = 6,089,617,296
  5. Step 5: Solve for x
    x = 6,089,617,296/51,885
  6. Step 6: Final answer
    x = 117,367.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.