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Finding the Third Proportional to 119.92 and 277.01

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Solution

The third proportional to 119.92 and 277.01 is: 639.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.92 : 277.01 = 277.01 : x
  2. Step 2: Convert to fraction form
    119.92/277.01 = 277.01/x
  3. Step 3: Cross multiply
    119.92x = 277.01 × 277.01
  4. Step 4: Simplify right side
    119.92x = 76,736.57
  5. Step 5: Solve for x
    x = 76,736.57/119.92
  6. Step 6: Final answer
    x = 639.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.