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Finding the Third Proportional to 45.48 and 107.34

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Solution

The third proportional to 45.48 and 107.34 is: 253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.48 : 107.34 = 107.34 : x
  2. Step 2: Convert to fraction form
    45.48/107.34 = 107.34/x
  3. Step 3: Cross multiply
    45.48x = 107.34 × 107.34
  4. Step 4: Simplify right side
    45.48x = 11,522.05
  5. Step 5: Solve for x
    x = 11,522.05/45.48
  6. Step 6: Final answer
    x = 253.32

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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.