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Finding the Third Proportional to 43,205 and 68,696

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Solution

The third proportional to 43,205 and 68,696 is: 109,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,205 : 68,696 = 68,696 : x
  2. Step 2: Convert to fraction form
    43,205/68,696 = 68,696/x
  3. Step 3: Cross multiply
    43,205x = 68,696 × 68,696
  4. Step 4: Simplify right side
    43,205x = 4,719,140,416
  5. Step 5: Solve for x
    x = 4,719,140,416/43,205
  6. Step 6: Final answer
    x = 109,226.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.