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Finding the Third Proportional to 379.97 and 571.08

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Solution

The third proportional to 379.97 and 571.08 is: 858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.97 : 571.08 = 571.08 : x
  2. Step 2: Convert to fraction form
    379.97/571.08 = 571.08/x
  3. Step 3: Cross multiply
    379.97x = 571.08 × 571.08
  4. Step 4: Simplify right side
    379.97x = 326,130.22
  5. Step 5: Solve for x
    x = 326,130.22/379.97
  6. Step 6: Final answer
    x = 858.31

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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.