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Finding the Third Proportional to 123.87 and 194.35

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Solution

The third proportional to 123.87 and 194.35 is: 304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.87 : 194.35 = 194.35 : x
  2. Step 2: Convert to fraction form
    123.87/194.35 = 194.35/x
  3. Step 3: Cross multiply
    123.87x = 194.35 × 194.35
  4. Step 4: Simplify right side
    123.87x = 37,772.91
  5. Step 5: Solve for x
    x = 37,772.91/123.87
  6. Step 6: Final answer
    x = 304.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.