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Finding the Third Proportional to 51,219 and 76,086

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Solution

The third proportional to 51,219 and 76,086 is: 113,026.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,219 : 76,086 = 76,086 : x
  2. Step 2: Convert to fraction form
    51,219/76,086 = 76,086/x
  3. Step 3: Cross multiply
    51,219x = 76,086 × 76,086
  4. Step 4: Simplify right side
    51,219x = 5,789,079,396
  5. Step 5: Solve for x
    x = 5,789,079,396/51,219
  6. Step 6: Final answer
    x = 113,026.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.