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Finding the Third Proportional to 108,856 and 168,138

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Solution

The third proportional to 108,856 and 168,138 is: 259,704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,856 : 168,138 = 168,138 : x
  2. Step 2: Convert to fraction form
    108,856/168,138 = 168,138/x
  3. Step 3: Cross multiply
    108,856x = 168,138 × 168,138
  4. Step 4: Simplify right side
    108,856x = 28,270,387,044
  5. Step 5: Solve for x
    x = 28,270,387,044/108,856
  6. Step 6: Final answer
    x = 259,704.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.