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Finding the Third Proportional to 51,954 and 77,991

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Solution

The third proportional to 51,954 and 77,991 is: 117,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,954 : 77,991 = 77,991 : x
  2. Step 2: Convert to fraction form
    51,954/77,991 = 77,991/x
  3. Step 3: Cross multiply
    51,954x = 77,991 × 77,991
  4. Step 4: Simplify right side
    51,954x = 6,082,596,081
  5. Step 5: Solve for x
    x = 6,082,596,081/51,954
  6. Step 6: Final answer
    x = 117,076.57

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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.