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Finding the Third Proportional to 439.17 and 659.39

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Solution

The third proportional to 439.17 and 659.39 is: 990.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.17 : 659.39 = 659.39 : x
  2. Step 2: Convert to fraction form
    439.17/659.39 = 659.39/x
  3. Step 3: Cross multiply
    439.17x = 659.39 × 659.39
  4. Step 4: Simplify right side
    439.17x = 434,796.00
  5. Step 5: Solve for x
    x = 434,796.00/439.17
  6. Step 6: Final answer
    x = 990.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.