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Finding the Third Proportional to 43,900 and 85,576

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Solution

The third proportional to 43,900 and 85,576 is: 166,816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,900 : 85,576 = 85,576 : x
  2. Step 2: Convert to fraction form
    43,900/85,576 = 85,576/x
  3. Step 3: Cross multiply
    43,900x = 85,576 × 85,576
  4. Step 4: Simplify right side
    43,900x = 7,323,251,776
  5. Step 5: Solve for x
    x = 7,323,251,776/43,900
  6. Step 6: Final answer
    x = 166,816.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.