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Finding the Third Proportional to 107.63 and 118.25

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Solution

The third proportional to 107.63 and 118.25 is: 129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.63 : 118.25 = 118.25 : x
  2. Step 2: Convert to fraction form
    107.63/118.25 = 118.25/x
  3. Step 3: Cross multiply
    107.63x = 118.25 × 118.25
  4. Step 4: Simplify right side
    107.63x = 13,983.06
  5. Step 5: Solve for x
    x = 13,983.06/107.63
  6. Step 6: Final answer
    x = 129.92

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.