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Finding the Third Proportional to 52,105.36 and 106,052.20

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Solution

The third proportional to 52,105.36 and 106,052.20 is: 215,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,105.36 : 106,052.20 = 106,052.20 : x
  2. Step 2: Convert to fraction form
    52,105.36/106,052.20 = 106,052.20/x
  3. Step 3: Cross multiply
    52,105.36x = 106,052.20 × 106,052.20
  4. Step 4: Simplify right side
    52,105.36x = 11,247,069,787.67
  5. Step 5: Solve for x
    x = 11,247,069,787.67/52,105.36
  6. Step 6: Final answer
    x = 215,852.46

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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.