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Finding the Third Proportional to 408.16 and 645.47

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Solution

The third proportional to 408.16 and 645.47 is: 1,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.16 : 645.47 = 645.47 : x
  2. Step 2: Convert to fraction form
    408.16/645.47 = 645.47/x
  3. Step 3: Cross multiply
    408.16x = 645.47 × 645.47
  4. Step 4: Simplify right side
    408.16x = 416,629.91
  5. Step 5: Solve for x
    x = 416,629.91/408.16
  6. Step 6: Final answer
    x = 1,020.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.