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Finding the Third Proportional to 539.94 and 859.56

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Solution

The third proportional to 539.94 and 859.56 is: 1,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.94 : 859.56 = 859.56 : x
  2. Step 2: Convert to fraction form
    539.94/859.56 = 859.56/x
  3. Step 3: Cross multiply
    539.94x = 859.56 × 859.56
  4. Step 4: Simplify right side
    539.94x = 738,847.69
  5. Step 5: Solve for x
    x = 738,847.69/539.94
  6. Step 6: Final answer
    x = 1,368.39

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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.