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Finding the Third Proportional to 301.14 and 648.55

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Solution

The third proportional to 301.14 and 648.55 is: 1,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.14 : 648.55 = 648.55 : x
  2. Step 2: Convert to fraction form
    301.14/648.55 = 648.55/x
  3. Step 3: Cross multiply
    301.14x = 648.55 × 648.55
  4. Step 4: Simplify right side
    301.14x = 420,621.92
  5. Step 5: Solve for x
    x = 420,621.92/301.14
  6. Step 6: Final answer
    x = 1,396.77

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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.