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Finding the Third Proportional to 629.44 and 1,421.72

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Solution

The third proportional to 629.44 and 1,421.72 is: 3,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.44 : 1,421.72 = 1,421.72 : x
  2. Step 2: Convert to fraction form
    629.44/1,421.72 = 1,421.72/x
  3. Step 3: Cross multiply
    629.44x = 1,421.72 × 1,421.72
  4. Step 4: Simplify right side
    629.44x = 2,021,284.20
  5. Step 5: Solve for x
    x = 2,021,284.20/629.44
  6. Step 6: Final answer
    x = 3,211.25

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.