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Finding the Third Proportional to 65,852 and 104,611

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Solution

The third proportional to 65,852 and 104,611 is: 166,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,852 : 104,611 = 104,611 : x
  2. Step 2: Convert to fraction form
    65,852/104,611 = 104,611/x
  3. Step 3: Cross multiply
    65,852x = 104,611 × 104,611
  4. Step 4: Simplify right side
    65,852x = 10,943,461,321
  5. Step 5: Solve for x
    x = 10,943,461,321/65,852
  6. Step 6: Final answer
    x = 166,182.67

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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.