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Finding the Third Proportional to 85,684 and 189,720

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Solution

The third proportional to 85,684 and 189,720 is: 420,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,684 : 189,720 = 189,720 : x
  2. Step 2: Convert to fraction form
    85,684/189,720 = 189,720/x
  3. Step 3: Cross multiply
    85,684x = 189,720 × 189,720
  4. Step 4: Simplify right side
    85,684x = 35,993,678,400
  5. Step 5: Solve for x
    x = 35,993,678,400/85,684
  6. Step 6: Final answer
    x = 420,074.67

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.