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Finding the Third Proportional to 31,268.32 and 68,375.32

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Solution

The third proportional to 31,268.32 and 68,375.32 is: 149,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,268.32 : 68,375.32 = 68,375.32 : x
  2. Step 2: Convert to fraction form
    31,268.32/68,375.32 = 68,375.32/x
  3. Step 3: Cross multiply
    31,268.32x = 68,375.32 × 68,375.32
  4. Step 4: Simplify right side
    31,268.32x = 4,675,184,427.84
  5. Step 5: Solve for x
    x = 4,675,184,427.84/31,268.32
  6. Step 6: Final answer
    x = 149,518.25

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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.