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Finding the Third Proportional to 309,204 and 450,684

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Solution

The third proportional to 309,204 and 450,684 is: 656,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,204 : 450,684 = 450,684 : x
  2. Step 2: Convert to fraction form
    309,204/450,684 = 450,684/x
  3. Step 3: Cross multiply
    309,204x = 450,684 × 450,684
  4. Step 4: Simplify right side
    309,204x = 203,116,067,856
  5. Step 5: Solve for x
    x = 203,116,067,856/309,204
  6. Step 6: Final answer
    x = 656,899.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.