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Finding the Third Proportional to 395.63 and 543.28

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Solution

The third proportional to 395.63 and 543.28 is: 746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.63 : 543.28 = 543.28 : x
  2. Step 2: Convert to fraction form
    395.63/543.28 = 543.28/x
  3. Step 3: Cross multiply
    395.63x = 543.28 × 543.28
  4. Step 4: Simplify right side
    395.63x = 295,154.52
  5. Step 5: Solve for x
    x = 295,154.52/395.63
  6. Step 6: Final answer
    x = 746.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.