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Finding the Third Proportional to 379.88 and 538.13

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Solution

The third proportional to 379.88 and 538.13 is: 762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.88 : 538.13 = 538.13 : x
  2. Step 2: Convert to fraction form
    379.88/538.13 = 538.13/x
  3. Step 3: Cross multiply
    379.88x = 538.13 × 538.13
  4. Step 4: Simplify right side
    379.88x = 289,578.52
  5. Step 5: Solve for x
    x = 289,578.52/379.88
  6. Step 6: Final answer
    x = 762.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.