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Finding the Third Proportional to 108,769 and 168,086

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Solution

The third proportional to 108,769 and 168,086 is: 259,751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,769 : 168,086 = 168,086 : x
  2. Step 2: Convert to fraction form
    108,769/168,086 = 168,086/x
  3. Step 3: Cross multiply
    108,769x = 168,086 × 168,086
  4. Step 4: Simplify right side
    108,769x = 28,252,903,396
  5. Step 5: Solve for x
    x = 28,252,903,396/108,769
  6. Step 6: Final answer
    x = 259,751.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.