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Finding the Third Proportional to 51,074 and 79,174

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Solution

The third proportional to 51,074 and 79,174 is: 122,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,074 : 79,174 = 79,174 : x
  2. Step 2: Convert to fraction form
    51,074/79,174 = 79,174/x
  3. Step 3: Cross multiply
    51,074x = 79,174 × 79,174
  4. Step 4: Simplify right side
    51,074x = 6,268,522,276
  5. Step 5: Solve for x
    x = 6,268,522,276/51,074
  6. Step 6: Final answer
    x = 122,734.12

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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.