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Finding the Third Proportional to 538.21 and 863.55

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Solution

The third proportional to 538.21 and 863.55 is: 1,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.21 : 863.55 = 863.55 : x
  2. Step 2: Convert to fraction form
    538.21/863.55 = 863.55/x
  3. Step 3: Cross multiply
    538.21x = 863.55 × 863.55
  4. Step 4: Simplify right side
    538.21x = 745,721.64
  5. Step 5: Solve for x
    x = 745,721.64/538.21
  6. Step 6: Final answer
    x = 1,385.57

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.