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Finding the Third Proportional to 277.17 and 393.61

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Solution

The third proportional to 277.17 and 393.61 is: 558.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.17 : 393.61 = 393.61 : x
  2. Step 2: Convert to fraction form
    277.17/393.61 = 393.61/x
  3. Step 3: Cross multiply
    277.17x = 393.61 × 393.61
  4. Step 4: Simplify right side
    277.17x = 154,928.34
  5. Step 5: Solve for x
    x = 154,928.34/277.17
  6. Step 6: Final answer
    x = 558.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.