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Finding the Third Proportional to 354.94 and 543.66

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Solution

The third proportional to 354.94 and 543.66 is: 832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.94 : 543.66 = 543.66 : x
  2. Step 2: Convert to fraction form
    354.94/543.66 = 543.66/x
  3. Step 3: Cross multiply
    354.94x = 543.66 × 543.66
  4. Step 4: Simplify right side
    354.94x = 295,562.12
  5. Step 5: Solve for x
    x = 295,562.12/354.94
  6. Step 6: Final answer
    x = 832.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.