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Finding the Third Proportional to 108,768 and 168,081

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Solution

The third proportional to 108,768 and 168,081 is: 259,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,768 : 168,081 = 168,081 : x
  2. Step 2: Convert to fraction form
    108,768/168,081 = 168,081/x
  3. Step 3: Cross multiply
    108,768x = 168,081 × 168,081
  4. Step 4: Simplify right side
    108,768x = 28,251,222,561
  5. Step 5: Solve for x
    x = 28,251,222,561/108,768
  6. Step 6: Final answer
    x = 259,738.37

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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.