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Finding the Third Proportional to 355.97 and 538.69

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Solution

The third proportional to 355.97 and 538.69 is: 815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.97 : 538.69 = 538.69 : x
  2. Step 2: Convert to fraction form
    355.97/538.69 = 538.69/x
  3. Step 3: Cross multiply
    355.97x = 538.69 × 538.69
  4. Step 4: Simplify right side
    355.97x = 290,184.22
  5. Step 5: Solve for x
    x = 290,184.22/355.97
  6. Step 6: Final answer
    x = 815.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.