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Finding the Third Proportional to 51,004 and 79,171

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Solution

The third proportional to 51,004 and 79,171 is: 122,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,004 : 79,171 = 79,171 : x
  2. Step 2: Convert to fraction form
    51,004/79,171 = 79,171/x
  3. Step 3: Cross multiply
    51,004x = 79,171 × 79,171
  4. Step 4: Simplify right side
    51,004x = 6,268,047,241
  5. Step 5: Solve for x
    x = 6,268,047,241/51,004
  6. Step 6: Final answer
    x = 122,893.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.