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Finding the Third Proportional to 276.86 and 434.11

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Solution

The third proportional to 276.86 and 434.11 is: 680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.86 : 434.11 = 434.11 : x
  2. Step 2: Convert to fraction form
    276.86/434.11 = 434.11/x
  3. Step 3: Cross multiply
    276.86x = 434.11 × 434.11
  4. Step 4: Simplify right side
    276.86x = 188,450.95
  5. Step 5: Solve for x
    x = 188,450.95/276.86
  6. Step 6: Final answer
    x = 680.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.