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Finding the Third Proportional to 85,069 and 102,474

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Solution

The third proportional to 85,069 and 102,474 is: 123,440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,069 : 102,474 = 102,474 : x
  2. Step 2: Convert to fraction form
    85,069/102,474 = 102,474/x
  3. Step 3: Cross multiply
    85,069x = 102,474 × 102,474
  4. Step 4: Simplify right side
    85,069x = 10,500,920,676
  5. Step 5: Solve for x
    x = 10,500,920,676/85,069
  6. Step 6: Final answer
    x = 123,440.04

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.