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Finding the Third Proportional to 112,794 and 163,860

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Solution

The third proportional to 112,794 and 163,860 is: 238,045.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,794 : 163,860 = 163,860 : x
  2. Step 2: Convert to fraction form
    112,794/163,860 = 163,860/x
  3. Step 3: Cross multiply
    112,794x = 163,860 × 163,860
  4. Step 4: Simplify right side
    112,794x = 26,850,099,600
  5. Step 5: Solve for x
    x = 26,850,099,600/112,794
  6. Step 6: Final answer
    x = 238,045.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.