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Finding the Third Proportional to 645.26 and 1,636.56

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Solution

The third proportional to 645.26 and 1,636.56 is: 4,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.26 : 1,636.56 = 1,636.56 : x
  2. Step 2: Convert to fraction form
    645.26/1,636.56 = 1,636.56/x
  3. Step 3: Cross multiply
    645.26x = 1,636.56 × 1,636.56
  4. Step 4: Simplify right side
    645.26x = 2,678,324.03
  5. Step 5: Solve for x
    x = 2,678,324.03/645.26
  6. Step 6: Final answer
    x = 4,150.78

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Why These Related Problems?

These problems maintain the same ratio (2.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.