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Finding the Third Proportional to 539.41 and 863.17

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Solution

The third proportional to 539.41 and 863.17 is: 1,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.41 : 863.17 = 863.17 : x
  2. Step 2: Convert to fraction form
    539.41/863.17 = 863.17/x
  3. Step 3: Cross multiply
    539.41x = 863.17 × 863.17
  4. Step 4: Simplify right side
    539.41x = 745,068.58
  5. Step 5: Solve for x
    x = 745,068.58/539.41
  6. Step 6: Final answer
    x = 1,381.27

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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.