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Finding the Third Proportional to 277.22 and 546.70

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Solution

The third proportional to 277.22 and 546.70 is: 1,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.22 : 546.70 = 546.70 : x
  2. Step 2: Convert to fraction form
    277.22/546.70 = 546.70/x
  3. Step 3: Cross multiply
    277.22x = 546.70 × 546.70
  4. Step 4: Simplify right side
    277.22x = 298,877.90
  5. Step 5: Solve for x
    x = 298,877.90/277.22
  6. Step 6: Final answer
    x = 1,078.11

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.