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Finding the Third Proportional to 2,785.64 and 3,721.36

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Solution

The third proportional to 2,785.64 and 3,721.36 is: 4,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.64 : 3,721.36 = 3,721.36 : x
  2. Step 2: Convert to fraction form
    2,785.64/3,721.36 = 3,721.36/x
  3. Step 3: Cross multiply
    2,785.64x = 3,721.36 × 3,721.36
  4. Step 4: Simplify right side
    2,785.64x = 13,848,515.60
  5. Step 5: Solve for x
    x = 13,848,515.60/2,785.64
  6. Step 6: Final answer
    x = 4,971.39

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.