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Finding the Third Proportional to 277.11 and 639.92

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Solution

The third proportional to 277.11 and 639.92 is: 1,477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.11 : 639.92 = 639.92 : x
  2. Step 2: Convert to fraction form
    277.11/639.92 = 639.92/x
  3. Step 3: Cross multiply
    277.11x = 639.92 × 639.92
  4. Step 4: Simplify right side
    277.11x = 409,499.85
  5. Step 5: Solve for x
    x = 409,499.85/277.11
  6. Step 6: Final answer
    x = 1,477.74

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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.