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Finding the Third Proportional to 301.44 and 643.56

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Solution

The third proportional to 301.44 and 643.56 is: 1,373.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.44 : 643.56 = 643.56 : x
  2. Step 2: Convert to fraction form
    301.44/643.56 = 643.56/x
  3. Step 3: Cross multiply
    301.44x = 643.56 × 643.56
  4. Step 4: Simplify right side
    301.44x = 414,172.69
  5. Step 5: Solve for x
    x = 414,172.69/301.44
  6. Step 6: Final answer
    x = 1,373.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.