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Finding the Third Proportional to 51,194 and 106,475

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Solution

The third proportional to 51,194 and 106,475 is: 221,450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,194 : 106,475 = 106,475 : x
  2. Step 2: Convert to fraction form
    51,194/106,475 = 106,475/x
  3. Step 3: Cross multiply
    51,194x = 106,475 × 106,475
  4. Step 4: Simplify right side
    51,194x = 11,336,925,625
  5. Step 5: Solve for x
    x = 11,336,925,625/51,194
  6. Step 6: Final answer
    x = 221,450.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.