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Finding the Third Proportional to 735.75 and 1,746.56

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Solution

The third proportional to 735.75 and 1,746.56 is: 4,146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.75 : 1,746.56 = 1,746.56 : x
  2. Step 2: Convert to fraction form
    735.75/1,746.56 = 1,746.56/x
  3. Step 3: Cross multiply
    735.75x = 1,746.56 × 1,746.56
  4. Step 4: Simplify right side
    735.75x = 3,050,480.57
  5. Step 5: Solve for x
    x = 3,050,480.57/735.75
  6. Step 6: Final answer
    x = 4,146.08

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.