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Finding the Third Proportional to 302.39 and 452.41

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Solution

The third proportional to 302.39 and 452.41 is: 676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.39 : 452.41 = 452.41 : x
  2. Step 2: Convert to fraction form
    302.39/452.41 = 452.41/x
  3. Step 3: Cross multiply
    302.39x = 452.41 × 452.41
  4. Step 4: Simplify right side
    302.39x = 204,678.48
  5. Step 5: Solve for x
    x = 204,678.48/302.39
  6. Step 6: Final answer
    x = 676.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.