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Finding the Third Proportional to 45.30 and 107.79

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Solution

The third proportional to 45.30 and 107.79 is: 256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.30 : 107.79 = 107.79 : x
  2. Step 2: Convert to fraction form
    45.30/107.79 = 107.79/x
  3. Step 3: Cross multiply
    45.30x = 107.79 × 107.79
  4. Step 4: Simplify right side
    45.30x = 11,619.61
  5. Step 5: Solve for x
    x = 11,619.61/45.30
  6. Step 6: Final answer
    x = 256.48

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.