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Finding the Third Proportional to 107.58 and 157.89

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Solution

The third proportional to 107.58 and 157.89 is: 231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.58 : 157.89 = 157.89 : x
  2. Step 2: Convert to fraction form
    107.58/157.89 = 157.89/x
  3. Step 3: Cross multiply
    107.58x = 157.89 × 157.89
  4. Step 4: Simplify right side
    107.58x = 24,928.22
  5. Step 5: Solve for x
    x = 24,928.22/107.58
  6. Step 6: Final answer
    x = 231.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.