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Finding the Third Proportional to 280,318 and 435,244

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Solution

The third proportional to 280,318 and 435,244 is: 675,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,318 : 435,244 = 435,244 : x
  2. Step 2: Convert to fraction form
    280,318/435,244 = 435,244/x
  3. Step 3: Cross multiply
    280,318x = 435,244 × 435,244
  4. Step 4: Simplify right side
    280,318x = 189,437,339,536
  5. Step 5: Solve for x
    x = 189,437,339,536/280,318
  6. Step 6: Final answer
    x = 675,794.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.