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Finding the Third Proportional to 61,674 and 81,991

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Solution

The third proportional to 61,674 and 81,991 is: 109,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,674 : 81,991 = 81,991 : x
  2. Step 2: Convert to fraction form
    61,674/81,991 = 81,991/x
  3. Step 3: Cross multiply
    61,674x = 81,991 × 81,991
  4. Step 4: Simplify right side
    61,674x = 6,722,524,081
  5. Step 5: Solve for x
    x = 6,722,524,081/61,674
  6. Step 6: Final answer
    x = 109,000.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.