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Finding the Third Proportional to 342.35 and 746.51

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Solution

The third proportional to 342.35 and 746.51 is: 1,627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.35 : 746.51 = 746.51 : x
  2. Step 2: Convert to fraction form
    342.35/746.51 = 746.51/x
  3. Step 3: Cross multiply
    342.35x = 746.51 × 746.51
  4. Step 4: Simplify right side
    342.35x = 557,273.91
  5. Step 5: Solve for x
    x = 557,273.91/342.35
  6. Step 6: Final answer
    x = 1,627.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.