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Finding the Third Proportional to 73,847 and 108,303

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Solution

The third proportional to 73,847 and 108,303 is: 158,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,847 : 108,303 = 108,303 : x
  2. Step 2: Convert to fraction form
    73,847/108,303 = 108,303/x
  3. Step 3: Cross multiply
    73,847x = 108,303 × 108,303
  4. Step 4: Simplify right side
    73,847x = 11,729,539,809
  5. Step 5: Solve for x
    x = 11,729,539,809/73,847
  6. Step 6: Final answer
    x = 158,835.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.