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Finding the Third Proportional to 112,109 and 163,851

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Solution

The third proportional to 112,109 and 163,851 is: 239,473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,109 : 163,851 = 163,851 : x
  2. Step 2: Convert to fraction form
    112,109/163,851 = 163,851/x
  3. Step 3: Cross multiply
    112,109x = 163,851 × 163,851
  4. Step 4: Simplify right side
    112,109x = 26,847,150,201
  5. Step 5: Solve for x
    x = 26,847,150,201/112,109
  6. Step 6: Final answer
    x = 239,473.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.