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Finding the Third Proportional to 406.69 and 528.19

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Solution

The third proportional to 406.69 and 528.19 is: 685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.69 : 528.19 = 528.19 : x
  2. Step 2: Convert to fraction form
    406.69/528.19 = 528.19/x
  3. Step 3: Cross multiply
    406.69x = 528.19 × 528.19
  4. Step 4: Simplify right side
    406.69x = 278,982.04
  5. Step 5: Solve for x
    x = 278,982.04/406.69
  6. Step 6: Final answer
    x = 685.99

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.