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Finding the Third Proportional to 51,193 and 78,976

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Solution

The third proportional to 51,193 and 78,976 is: 121,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,193 : 78,976 = 78,976 : x
  2. Step 2: Convert to fraction form
    51,193/78,976 = 78,976/x
  3. Step 3: Cross multiply
    51,193x = 78,976 × 78,976
  4. Step 4: Simplify right side
    51,193x = 6,237,208,576
  5. Step 5: Solve for x
    x = 6,237,208,576/51,193
  6. Step 6: Final answer
    x = 121,837.14

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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.