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Finding the Third Proportional to 280,284 and 434,190

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Solution

The third proportional to 280,284 and 434,190 is: 672,606.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,284 : 434,190 = 434,190 : x
  2. Step 2: Convert to fraction form
    280,284/434,190 = 434,190/x
  3. Step 3: Cross multiply
    280,284x = 434,190 × 434,190
  4. Step 4: Simplify right side
    280,284x = 188,520,956,100
  5. Step 5: Solve for x
    x = 188,520,956,100/280,284
  6. Step 6: Final answer
    x = 672,606.91

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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.