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Finding the Third Proportional to 406 and 559.25

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Solution

The third proportional to 406 and 559.25 is: 770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406 : 559.25 = 559.25 : x
  2. Step 2: Convert to fraction form
    406/559.25 = 559.25/x
  3. Step 3: Cross multiply
    406x = 559.25 × 559.25
  4. Step 4: Simplify right side
    406x = 312,760.56
  5. Step 5: Solve for x
    x = 312,760.56/406
  6. Step 6: Final answer
    x = 770.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.