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Finding the Third Proportional to 137.76 and 216.24

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Solution

The third proportional to 137.76 and 216.24 is: 339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.76 : 216.24 = 216.24 : x
  2. Step 2: Convert to fraction form
    137.76/216.24 = 216.24/x
  3. Step 3: Cross multiply
    137.76x = 216.24 × 216.24
  4. Step 4: Simplify right side
    137.76x = 46,761.42
  5. Step 5: Solve for x
    x = 46,761.42/137.76
  6. Step 6: Final answer
    x = 339.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.