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Finding the Third Proportional to 189,403 and 420,847

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Solution

The third proportional to 189,403 and 420,847 is: 935,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,403 : 420,847 = 420,847 : x
  2. Step 2: Convert to fraction form
    189,403/420,847 = 420,847/x
  3. Step 3: Cross multiply
    189,403x = 420,847 × 420,847
  4. Step 4: Simplify right side
    189,403x = 177,112,197,409
  5. Step 5: Solve for x
    x = 177,112,197,409/189,403
  6. Step 6: Final answer
    x = 935,107.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.