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Finding the Third Proportional to 51,040 and 76,611

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Solution

The third proportional to 51,040 and 76,611 is: 114,993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,040 : 76,611 = 76,611 : x
  2. Step 2: Convert to fraction form
    51,040/76,611 = 76,611/x
  3. Step 3: Cross multiply
    51,040x = 76,611 × 76,611
  4. Step 4: Simplify right side
    51,040x = 5,869,245,321
  5. Step 5: Solve for x
    x = 5,869,245,321/51,040
  6. Step 6: Final answer
    x = 114,993.05

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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.