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Finding the Third Proportional to 378.84 and 926.86

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Solution

The third proportional to 378.84 and 926.86 is: 2,267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.84 : 926.86 = 926.86 : x
  2. Step 2: Convert to fraction form
    378.84/926.86 = 926.86/x
  3. Step 3: Cross multiply
    378.84x = 926.86 × 926.86
  4. Step 4: Simplify right side
    378.84x = 859,068.30
  5. Step 5: Solve for x
    x = 859,068.30/378.84
  6. Step 6: Final answer
    x = 2,267.61

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.