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Finding the Third Proportional to 668 and 1,419.75

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Solution

The third proportional to 668 and 1,419.75 is: 3,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    668 : 1,419.75 = 1,419.75 : x
  2. Step 2: Convert to fraction form
    668/1,419.75 = 1,419.75/x
  3. Step 3: Cross multiply
    668x = 1,419.75 × 1,419.75
  4. Step 4: Simplify right side
    668x = 2,015,690.06
  5. Step 5: Solve for x
    x = 2,015,690.06/668
  6. Step 6: Final answer
    x = 3,017.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.