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Finding the Third Proportional to 376.38 and 543.66

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Solution

The third proportional to 376.38 and 543.66 is: 785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.38 : 543.66 = 543.66 : x
  2. Step 2: Convert to fraction form
    376.38/543.66 = 543.66/x
  3. Step 3: Cross multiply
    376.38x = 543.66 × 543.66
  4. Step 4: Simplify right side
    376.38x = 295,562.12
  5. Step 5: Solve for x
    x = 295,562.12/376.38
  6. Step 6: Final answer
    x = 785.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.