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Finding the Third Proportional to 78,794 and 164,236

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Solution

The third proportional to 78,794 and 164,236 is: 342,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,794 : 164,236 = 164,236 : x
  2. Step 2: Convert to fraction form
    78,794/164,236 = 164,236/x
  3. Step 3: Cross multiply
    78,794x = 164,236 × 164,236
  4. Step 4: Simplify right side
    78,794x = 26,973,463,696
  5. Step 5: Solve for x
    x = 26,973,463,696/78,794
  6. Step 6: Final answer
    x = 342,328.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.