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Finding the Third Proportional to 395.34 and 569.41

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Solution

The third proportional to 395.34 and 569.41 is: 820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.34 : 569.41 = 569.41 : x
  2. Step 2: Convert to fraction form
    395.34/569.41 = 569.41/x
  3. Step 3: Cross multiply
    395.34x = 569.41 × 569.41
  4. Step 4: Simplify right side
    395.34x = 324,232.37
  5. Step 5: Solve for x
    x = 324,232.37/395.34
  6. Step 6: Final answer
    x = 820.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.