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Finding the Third Proportional to 354.25 and 557.88

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Solution

The third proportional to 354.25 and 557.88 is: 878.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.25 : 557.88 = 557.88 : x
  2. Step 2: Convert to fraction form
    354.25/557.88 = 557.88/x
  3. Step 3: Cross multiply
    354.25x = 557.88 × 557.88
  4. Step 4: Simplify right side
    354.25x = 311,224.52
  5. Step 5: Solve for x
    x = 311,224.52/354.25
  6. Step 6: Final answer
    x = 878.54

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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.