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Finding the Third Proportional to 640.63 and 1,375.75

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Solution

The third proportional to 640.63 and 1,375.75 is: 2,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.63 : 1,375.75 = 1,375.75 : x
  2. Step 2: Convert to fraction form
    640.63/1,375.75 = 1,375.75/x
  3. Step 3: Cross multiply
    640.63x = 1,375.75 × 1,375.75
  4. Step 4: Simplify right side
    640.63x = 1,892,688.06
  5. Step 5: Solve for x
    x = 1,892,688.06/640.63
  6. Step 6: Final answer
    x = 2,954.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.