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Finding the Third Proportional to 280,271 and 434,177

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Solution

The third proportional to 280,271 and 434,177 is: 672,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,271 : 434,177 = 434,177 : x
  2. Step 2: Convert to fraction form
    280,271/434,177 = 434,177/x
  3. Step 3: Cross multiply
    280,271x = 434,177 × 434,177
  4. Step 4: Simplify right side
    280,271x = 188,509,667,329
  5. Step 5: Solve for x
    x = 188,509,667,329/280,271
  6. Step 6: Final answer
    x = 672,597.83

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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.