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Finding the Third Proportional to 189,367 and 412,630

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Solution

The third proportional to 189,367 and 412,630 is: 899,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,367 : 412,630 = 412,630 : x
  2. Step 2: Convert to fraction form
    189,367/412,630 = 412,630/x
  3. Step 3: Cross multiply
    189,367x = 412,630 × 412,630
  4. Step 4: Simplify right side
    189,367x = 170,263,516,900
  5. Step 5: Solve for x
    x = 170,263,516,900/189,367
  6. Step 6: Final answer
    x = 899,119.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.