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Finding the Third Proportional to 88,722 and 193,833

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Solution

The third proportional to 88,722 and 193,833 is: 423,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,722 : 193,833 = 193,833 : x
  2. Step 2: Convert to fraction form
    88,722/193,833 = 193,833/x
  3. Step 3: Cross multiply
    88,722x = 193,833 × 193,833
  4. Step 4: Simplify right side
    88,722x = 37,571,231,889
  5. Step 5: Solve for x
    x = 37,571,231,889/88,722
  6. Step 6: Final answer
    x = 423,471.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.