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Finding the Third Proportional to 283,385 and 396,237

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Solution

The third proportional to 283,385 and 396,237 is: 554,029.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,385 : 396,237 = 396,237 : x
  2. Step 2: Convert to fraction form
    283,385/396,237 = 396,237/x
  3. Step 3: Cross multiply
    283,385x = 396,237 × 396,237
  4. Step 4: Simplify right side
    283,385x = 157,003,760,169
  5. Step 5: Solve for x
    x = 157,003,760,169/283,385
  6. Step 6: Final answer
    x = 554,029.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.