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Finding the Third Proportional to 439.88 and 675.28

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Solution

The third proportional to 439.88 and 675.28 is: 1,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.88 : 675.28 = 675.28 : x
  2. Step 2: Convert to fraction form
    439.88/675.28 = 675.28/x
  3. Step 3: Cross multiply
    439.88x = 675.28 × 675.28
  4. Step 4: Simplify right side
    439.88x = 456,004.77
  5. Step 5: Solve for x
    x = 456,004.77/439.88
  6. Step 6: Final answer
    x = 1,036.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.