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Finding the Third Proportional to 51,104 and 109,980

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Solution

The third proportional to 51,104 and 109,980 is: 236,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,104 : 109,980 = 109,980 : x
  2. Step 2: Convert to fraction form
    51,104/109,980 = 109,980/x
  3. Step 3: Cross multiply
    51,104x = 109,980 × 109,980
  4. Step 4: Simplify right side
    51,104x = 12,095,600,400
  5. Step 5: Solve for x
    x = 12,095,600,400/51,104
  6. Step 6: Final answer
    x = 236,685.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.