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Finding the Third Proportional to 301,285 and 399,846

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Solution

The third proportional to 301,285 and 399,846 is: 530,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,285 : 399,846 = 399,846 : x
  2. Step 2: Convert to fraction form
    301,285/399,846 = 399,846/x
  3. Step 3: Cross multiply
    301,285x = 399,846 × 399,846
  4. Step 4: Simplify right side
    301,285x = 159,876,823,716
  5. Step 5: Solve for x
    x = 159,876,823,716/301,285
  6. Step 6: Final answer
    x = 530,649.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.