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Finding the Third Proportional to 280.14 and 305.77

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Solution

The third proportional to 280.14 and 305.77 is: 333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.14 : 305.77 = 305.77 : x
  2. Step 2: Convert to fraction form
    280.14/305.77 = 305.77/x
  3. Step 3: Cross multiply
    280.14x = 305.77 × 305.77
  4. Step 4: Simplify right side
    280.14x = 93,493.51
  5. Step 5: Solve for x
    x = 93,493.51/280.14
  6. Step 6: Final answer
    x = 333.74

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.