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Finding the Third Proportional to 293.45 and 439.26

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Solution

The third proportional to 293.45 and 439.26 is: 657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.45 : 439.26 = 439.26 : x
  2. Step 2: Convert to fraction form
    293.45/439.26 = 439.26/x
  3. Step 3: Cross multiply
    293.45x = 439.26 × 439.26
  4. Step 4: Simplify right side
    293.45x = 192,949.14
  5. Step 5: Solve for x
    x = 192,949.14/293.45
  6. Step 6: Final answer
    x = 657.52

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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.