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Finding the Third Proportional to 414.75 and 570.44

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Solution

The third proportional to 414.75 and 570.44 is: 784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.75 : 570.44 = 570.44 : x
  2. Step 2: Convert to fraction form
    414.75/570.44 = 570.44/x
  3. Step 3: Cross multiply
    414.75x = 570.44 × 570.44
  4. Step 4: Simplify right side
    414.75x = 325,398.94
  5. Step 5: Solve for x
    x = 325,398.94/414.75
  6. Step 6: Final answer
    x = 784.57

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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.