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Finding the Third Proportional to 48.94 and 129.97

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Solution

The third proportional to 48.94 and 129.97 is: 345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.94 : 129.97 = 129.97 : x
  2. Step 2: Convert to fraction form
    48.94/129.97 = 129.97/x
  3. Step 3: Cross multiply
    48.94x = 129.97 × 129.97
  4. Step 4: Simplify right side
    48.94x = 16,891.88
  5. Step 5: Solve for x
    x = 16,891.88/48.94
  6. Step 6: Final answer
    x = 345.17

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.