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Finding the Third Proportional to 280,392.75 and 434,988

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Solution

The third proportional to 280,392.75 and 434,988 is: 674,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,392.75 : 434,988 = 434,988 : x
  2. Step 2: Convert to fraction form
    280,392.75/434,988 = 434,988/x
  3. Step 3: Cross multiply
    280,392.75x = 434,988 × 434,988
  4. Step 4: Simplify right side
    280,392.75x = 189,214,560,144
  5. Step 5: Solve for x
    x = 189,214,560,144/280,392.75
  6. Step 6: Final answer
    x = 674,819.73

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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.