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Finding the Third Proportional to 189,405 and 420,851

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Solution

The third proportional to 189,405 and 420,851 is: 935,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,405 : 420,851 = 420,851 : x
  2. Step 2: Convert to fraction form
    189,405/420,851 = 420,851/x
  3. Step 3: Cross multiply
    189,405x = 420,851 × 420,851
  4. Step 4: Simplify right side
    189,405x = 177,115,564,201
  5. Step 5: Solve for x
    x = 177,115,564,201/189,405
  6. Step 6: Final answer
    x = 935,115.57

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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.