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Finding the Third Proportional to 459.56 and 689.44

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Solution

The third proportional to 459.56 and 689.44 is: 1,034.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.56 : 689.44 = 689.44 : x
  2. Step 2: Convert to fraction form
    459.56/689.44 = 689.44/x
  3. Step 3: Cross multiply
    459.56x = 689.44 × 689.44
  4. Step 4: Simplify right side
    459.56x = 475,324.07
  5. Step 5: Solve for x
    x = 475,324.07/459.56
  6. Step 6: Final answer
    x = 1,034.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.