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Finding the Third Proportional to 51,194 and 78,977

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Solution

The third proportional to 51,194 and 78,977 is: 121,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,194 : 78,977 = 78,977 : x
  2. Step 2: Convert to fraction form
    51,194/78,977 = 78,977/x
  3. Step 3: Cross multiply
    51,194x = 78,977 × 78,977
  4. Step 4: Simplify right side
    51,194x = 6,237,366,529
  5. Step 5: Solve for x
    x = 6,237,366,529/51,194
  6. Step 6: Final answer
    x = 121,837.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.