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Finding the Third Proportional to 78,682 and 120,318

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Solution

The third proportional to 78,682 and 120,318 is: 183,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,682 : 120,318 = 120,318 : x
  2. Step 2: Convert to fraction form
    78,682/120,318 = 120,318/x
  3. Step 3: Cross multiply
    78,682x = 120,318 × 120,318
  4. Step 4: Simplify right side
    78,682x = 14,476,421,124
  5. Step 5: Solve for x
    x = 14,476,421,124/78,682
  6. Step 6: Final answer
    x = 183,986.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.