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Finding the Third Proportional to 338.63 and 725.91

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Solution

The third proportional to 338.63 and 725.91 is: 1,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.63 : 725.91 = 725.91 : x
  2. Step 2: Convert to fraction form
    338.63/725.91 = 725.91/x
  3. Step 3: Cross multiply
    338.63x = 725.91 × 725.91
  4. Step 4: Simplify right side
    338.63x = 526,939.88
  5. Step 5: Solve for x
    x = 526,939.88/338.63
  6. Step 6: Final answer
    x = 1,556.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.