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Finding the Third Proportional to 119.75 and 187.06

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Solution

The third proportional to 119.75 and 187.06 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.75 : 187.06 = 187.06 : x
  2. Step 2: Convert to fraction form
    119.75/187.06 = 187.06/x
  3. Step 3: Cross multiply
    119.75x = 187.06 × 187.06
  4. Step 4: Simplify right side
    119.75x = 34,992.38
  5. Step 5: Solve for x
    x = 34,992.38/119.75
  6. Step 6: Final answer
    x = 292.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.