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Finding the Third Proportional to 541.21 and 860.39

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Solution

The third proportional to 541.21 and 860.39 is: 1,367.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.21 : 860.39 = 860.39 : x
  2. Step 2: Convert to fraction form
    541.21/860.39 = 860.39/x
  3. Step 3: Cross multiply
    541.21x = 860.39 × 860.39
  4. Step 4: Simplify right side
    541.21x = 740,266.99
  5. Step 5: Solve for x
    x = 740,266.99/541.21
  6. Step 6: Final answer
    x = 1,367.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.