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Finding the Third Proportional to 51,120 and 106,848

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Solution

The third proportional to 51,120 and 106,848 is: 223,327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,120 : 106,848 = 106,848 : x
  2. Step 2: Convert to fraction form
    51,120/106,848 = 106,848/x
  3. Step 3: Cross multiply
    51,120x = 106,848 × 106,848
  4. Step 4: Simplify right side
    51,120x = 11,416,495,104
  5. Step 5: Solve for x
    x = 11,416,495,104/51,120
  6. Step 6: Final answer
    x = 223,327.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.