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Finding the Third Proportional to 669.52 and 1,399.64

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Solution

The third proportional to 669.52 and 1,399.64 is: 2,925.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.52 : 1,399.64 = 1,399.64 : x
  2. Step 2: Convert to fraction form
    669.52/1,399.64 = 1,399.64/x
  3. Step 3: Cross multiply
    669.52x = 1,399.64 × 1,399.64
  4. Step 4: Simplify right side
    669.52x = 1,958,993.88
  5. Step 5: Solve for x
    x = 1,958,993.88/669.52
  6. Step 6: Final answer
    x = 2,925.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.