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Finding the Third Proportional to 340.88 and 738.38

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Solution

The third proportional to 340.88 and 738.38 is: 1,599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.88 : 738.38 = 738.38 : x
  2. Step 2: Convert to fraction form
    340.88/738.38 = 738.38/x
  3. Step 3: Cross multiply
    340.88x = 738.38 × 738.38
  4. Step 4: Simplify right side
    340.88x = 545,197.64
  5. Step 5: Solve for x
    x = 545,197.64/340.88
  6. Step 6: Final answer
    x = 1,599.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.