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Finding the Third Proportional to 189,197 and 284,590

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Solution

The third proportional to 189,197 and 284,590 is: 428,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,197 : 284,590 = 284,590 : x
  2. Step 2: Convert to fraction form
    189,197/284,590 = 284,590/x
  3. Step 3: Cross multiply
    189,197x = 284,590 × 284,590
  4. Step 4: Simplify right side
    189,197x = 80,991,468,100
  5. Step 5: Solve for x
    x = 80,991,468,100/189,197
  6. Step 6: Final answer
    x = 428,080.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.