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Finding the Third Proportional to 271.39 and 420.49

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Solution

The third proportional to 271.39 and 420.49 is: 651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.39 : 420.49 = 420.49 : x
  2. Step 2: Convert to fraction form
    271.39/420.49 = 420.49/x
  3. Step 3: Cross multiply
    271.39x = 420.49 × 420.49
  4. Step 4: Simplify right side
    271.39x = 176,813.68
  5. Step 5: Solve for x
    x = 176,813.68/271.39
  6. Step 6: Final answer
    x = 651.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.