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Finding the Third Proportional to 208.41 and 280.13

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Solution

The third proportional to 208.41 and 280.13 is: 376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.41 : 280.13 = 280.13 : x
  2. Step 2: Convert to fraction form
    208.41/280.13 = 280.13/x
  3. Step 3: Cross multiply
    208.41x = 280.13 × 280.13
  4. Step 4: Simplify right side
    208.41x = 78,470.02
  5. Step 5: Solve for x
    x = 78,470.02/208.41
  6. Step 6: Final answer
    x = 376.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.