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Finding the Third Proportional to 441.13 and 648.63

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Solution

The third proportional to 441.13 and 648.63 is: 953.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.13 : 648.63 = 648.63 : x
  2. Step 2: Convert to fraction form
    441.13/648.63 = 648.63/x
  3. Step 3: Cross multiply
    441.13x = 648.63 × 648.63
  4. Step 4: Simplify right side
    441.13x = 420,714.39
  5. Step 5: Solve for x
    x = 420,714.39/441.13
  6. Step 6: Final answer
    x = 953.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.