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Finding the Third Proportional to 84,676 and 189,400

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Solution

The third proportional to 84,676 and 189,400 is: 423,642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,676 : 189,400 = 189,400 : x
  2. Step 2: Convert to fraction form
    84,676/189,400 = 189,400/x
  3. Step 3: Cross multiply
    84,676x = 189,400 × 189,400
  4. Step 4: Simplify right side
    84,676x = 35,872,360,000
  5. Step 5: Solve for x
    x = 35,872,360,000/84,676
  6. Step 6: Final answer
    x = 423,642.59

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.