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Finding the Third Proportional to 689.44 and 1,344.28

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Solution

The third proportional to 689.44 and 1,344.28 is: 2,621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.44 : 1,344.28 = 1,344.28 : x
  2. Step 2: Convert to fraction form
    689.44/1,344.28 = 1,344.28/x
  3. Step 3: Cross multiply
    689.44x = 1,344.28 × 1,344.28
  4. Step 4: Simplify right side
    689.44x = 1,807,092.08
  5. Step 5: Solve for x
    x = 1,807,092.08/689.44
  6. Step 6: Final answer
    x = 2,621.11

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.