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Finding the Third Proportional to 279,960 and 434,205

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Solution

The third proportional to 279,960 and 434,205 is: 673,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,960 : 434,205 = 434,205 : x
  2. Step 2: Convert to fraction form
    279,960/434,205 = 434,205/x
  3. Step 3: Cross multiply
    279,960x = 434,205 × 434,205
  4. Step 4: Simplify right side
    279,960x = 188,533,982,025
  5. Step 5: Solve for x
    x = 188,533,982,025/279,960
  6. Step 6: Final answer
    x = 673,431.85

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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.