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Finding the Third Proportional to 51,050 and 76,619

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Solution

The third proportional to 51,050 and 76,619 is: 114,994.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,050 : 76,619 = 76,619 : x
  2. Step 2: Convert to fraction form
    51,050/76,619 = 76,619/x
  3. Step 3: Cross multiply
    51,050x = 76,619 × 76,619
  4. Step 4: Simplify right side
    51,050x = 5,870,471,161
  5. Step 5: Solve for x
    x = 5,870,471,161/51,050
  6. Step 6: Final answer
    x = 114,994.54

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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.