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Finding the Third Proportional to 378.38 and 492.94

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Solution

The third proportional to 378.38 and 492.94 is: 642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.38 : 492.94 = 492.94 : x
  2. Step 2: Convert to fraction form
    378.38/492.94 = 492.94/x
  3. Step 3: Cross multiply
    378.38x = 492.94 × 492.94
  4. Step 4: Simplify right side
    378.38x = 242,987.38
  5. Step 5: Solve for x
    x = 242,987.38/378.38
  6. Step 6: Final answer
    x = 642.19

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.