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Finding the Third Proportional to 51,104 and 82,056

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Solution

The third proportional to 51,104 and 82,056 is: 131,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,104 : 82,056 = 82,056 : x
  2. Step 2: Convert to fraction form
    51,104/82,056 = 82,056/x
  3. Step 3: Cross multiply
    51,104x = 82,056 × 82,056
  4. Step 4: Simplify right side
    51,104x = 6,733,187,136
  5. Step 5: Solve for x
    x = 6,733,187,136/51,104
  6. Step 6: Final answer
    x = 131,754.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.