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Finding the Third Proportional to 643.10 and 1,375.42

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Solution

The third proportional to 643.10 and 1,375.42 is: 2,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.10 : 1,375.42 = 1,375.42 : x
  2. Step 2: Convert to fraction form
    643.10/1,375.42 = 1,375.42/x
  3. Step 3: Cross multiply
    643.10x = 1,375.42 × 1,375.42
  4. Step 4: Simplify right side
    643.10x = 1,891,774.59
  5. Step 5: Solve for x
    x = 1,891,774.59/643.10
  6. Step 6: Final answer
    x = 2,941.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.