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Finding the Third Proportional to 45.50 and 107.31

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Solution

The third proportional to 45.50 and 107.31 is: 253.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.50 : 107.31 = 107.31 : x
  2. Step 2: Convert to fraction form
    45.50/107.31 = 107.31/x
  3. Step 3: Cross multiply
    45.50x = 107.31 × 107.31
  4. Step 4: Simplify right side
    45.50x = 11,515.97
  5. Step 5: Solve for x
    x = 11,515.97/45.50
  6. Step 6: Final answer
    x = 253.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.