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Finding the Third Proportional to 290,884 and 450,150

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Solution

The third proportional to 290,884 and 450,150 is: 696,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,884 : 450,150 = 450,150 : x
  2. Step 2: Convert to fraction form
    290,884/450,150 = 450,150/x
  3. Step 3: Cross multiply
    290,884x = 450,150 × 450,150
  4. Step 4: Simplify right side
    290,884x = 202,635,022,500
  5. Step 5: Solve for x
    x = 202,635,022,500/290,884
  6. Step 6: Final answer
    x = 696,617.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.