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Finding the Third Proportional to 341.13 and 746.75

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Solution

The third proportional to 341.13 and 746.75 is: 1,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.13 : 746.75 = 746.75 : x
  2. Step 2: Convert to fraction form
    341.13/746.75 = 746.75/x
  3. Step 3: Cross multiply
    341.13x = 746.75 × 746.75
  4. Step 4: Simplify right side
    341.13x = 557,635.56
  5. Step 5: Solve for x
    x = 557,635.56/341.13
  6. Step 6: Final answer
    x = 1,634.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.