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Finding the Third Proportional to 52,035.75 and 106,015.50

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Solution

The third proportional to 52,035.75 and 106,015.50 is: 215,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035.75 : 106,015.50 = 106,015.50 : x
  2. Step 2: Convert to fraction form
    52,035.75/106,015.50 = 106,015.50/x
  3. Step 3: Cross multiply
    52,035.75x = 106,015.50 × 106,015.50
  4. Step 4: Simplify right side
    52,035.75x = 11,239,286,240.25
  5. Step 5: Solve for x
    x = 11,239,286,240.25/52,035.75
  6. Step 6: Final answer
    x = 215,991.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.