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Finding the Third Proportional to 88,852 and 193,748

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Solution

The third proportional to 88,852 and 193,748 is: 422,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,852 : 193,748 = 193,748 : x
  2. Step 2: Convert to fraction form
    88,852/193,748 = 193,748/x
  3. Step 3: Cross multiply
    88,852x = 193,748 × 193,748
  4. Step 4: Simplify right side
    88,852x = 37,538,287,504
  5. Step 5: Solve for x
    x = 37,538,287,504/88,852
  6. Step 6: Final answer
    x = 422,481.06

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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.