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Finding the Third Proportional to 112,138 and 168,678

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Solution

The third proportional to 112,138 and 168,678 is: 253,725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,138 : 168,678 = 168,678 : x
  2. Step 2: Convert to fraction form
    112,138/168,678 = 168,678/x
  3. Step 3: Cross multiply
    112,138x = 168,678 × 168,678
  4. Step 4: Simplify right side
    112,138x = 28,452,267,684
  5. Step 5: Solve for x
    x = 28,452,267,684/112,138
  6. Step 6: Final answer
    x = 253,725.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.