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Finding the Third Proportional to 433.88 and 679.31

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Solution

The third proportional to 433.88 and 679.31 is: 1,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.88 : 679.31 = 679.31 : x
  2. Step 2: Convert to fraction form
    433.88/679.31 = 679.31/x
  3. Step 3: Cross multiply
    433.88x = 679.31 × 679.31
  4. Step 4: Simplify right side
    433.88x = 461,465.47
  5. Step 5: Solve for x
    x = 461,465.47/433.88
  6. Step 6: Final answer
    x = 1,063.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.