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Finding the Third Proportional to 539.81 and 859.37

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Solution

The third proportional to 539.81 and 859.37 is: 1,368.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.81 : 859.37 = 859.37 : x
  2. Step 2: Convert to fraction form
    539.81/859.37 = 859.37/x
  3. Step 3: Cross multiply
    539.81x = 859.37 × 859.37
  4. Step 4: Simplify right side
    539.81x = 738,515.53
  5. Step 5: Solve for x
    x = 738,515.53/539.81
  6. Step 6: Final answer
    x = 1,368.11

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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.