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Finding the Third Proportional to 309,208 and 450,690

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Solution

The third proportional to 309,208 and 450,690 is: 656,908.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,208 : 450,690 = 450,690 : x
  2. Step 2: Convert to fraction form
    309,208/450,690 = 450,690/x
  3. Step 3: Cross multiply
    309,208x = 450,690 × 450,690
  4. Step 4: Simplify right side
    309,208x = 203,121,476,100
  5. Step 5: Solve for x
    x = 203,121,476,100/309,208
  6. Step 6: Final answer
    x = 656,908.86

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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.