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Finding the Third Proportional to 379.41 and 570.28

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Solution

The third proportional to 379.41 and 570.28 is: 857.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.41 : 570.28 = 570.28 : x
  2. Step 2: Convert to fraction form
    379.41/570.28 = 570.28/x
  3. Step 3: Cross multiply
    379.41x = 570.28 × 570.28
  4. Step 4: Simplify right side
    379.41x = 325,220.70
  5. Step 5: Solve for x
    x = 325,220.70/379.41
  6. Step 6: Final answer
    x = 857.18

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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.