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Finding the Third Proportional to 213.47 and 512.26

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Solution

The third proportional to 213.47 and 512.26 is: 1,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.47 : 512.26 = 512.26 : x
  2. Step 2: Convert to fraction form
    213.47/512.26 = 512.26/x
  3. Step 3: Cross multiply
    213.47x = 512.26 × 512.26
  4. Step 4: Simplify right side
    213.47x = 262,412.07
  5. Step 5: Solve for x
    x = 262,412.07/213.47
  6. Step 6: Final answer
    x = 1,229.28

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.