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Finding the Third Proportional to 189,520 and 408,200

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Solution

The third proportional to 189,520 and 408,200 is: 879,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,520 : 408,200 = 408,200 : x
  2. Step 2: Convert to fraction form
    189,520/408,200 = 408,200/x
  3. Step 3: Cross multiply
    189,520x = 408,200 × 408,200
  4. Step 4: Simplify right side
    189,520x = 166,627,240,000
  5. Step 5: Solve for x
    x = 166,627,240,000/189,520
  6. Step 6: Final answer
    x = 879,206.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.