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Finding the Third Proportional to 338.41 and 538.41

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Solution

The third proportional to 338.41 and 538.41 is: 856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.41 : 538.41 = 538.41 : x
  2. Step 2: Convert to fraction form
    338.41/538.41 = 538.41/x
  3. Step 3: Cross multiply
    338.41x = 538.41 × 538.41
  4. Step 4: Simplify right side
    338.41x = 289,881.29
  5. Step 5: Solve for x
    x = 289,881.29/338.41
  6. Step 6: Final answer
    x = 856.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.