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Finding the Third Proportional to 78,536 and 163,696

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Solution

The third proportional to 78,536 and 163,696 is: 341,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,536 : 163,696 = 163,696 : x
  2. Step 2: Convert to fraction form
    78,536/163,696 = 163,696/x
  3. Step 3: Cross multiply
    78,536x = 163,696 × 163,696
  4. Step 4: Simplify right side
    78,536x = 26,796,380,416
  5. Step 5: Solve for x
    x = 26,796,380,416/78,536
  6. Step 6: Final answer
    x = 341,198.69

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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.