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Finding the Third Proportional to 51,991 and 82,644

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Solution

The third proportional to 51,991 and 82,644 is: 131,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,991 : 82,644 = 82,644 : x
  2. Step 2: Convert to fraction form
    51,991/82,644 = 82,644/x
  3. Step 3: Cross multiply
    51,991x = 82,644 × 82,644
  4. Step 4: Simplify right side
    51,991x = 6,830,030,736
  5. Step 5: Solve for x
    x = 6,830,030,736/51,991
  6. Step 6: Final answer
    x = 131,369.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.