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Finding the Third Proportional to 283,097 and 434,474

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Solution

The third proportional to 283,097 and 434,474 is: 666,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,097 : 434,474 = 434,474 : x
  2. Step 2: Convert to fraction form
    283,097/434,474 = 434,474/x
  3. Step 3: Cross multiply
    283,097x = 434,474 × 434,474
  4. Step 4: Simplify right side
    283,097x = 188,767,656,676
  5. Step 5: Solve for x
    x = 188,767,656,676/283,097
  6. Step 6: Final answer
    x = 666,794.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.