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Finding the Third Proportional to 404.88 and 878.38

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Solution

The third proportional to 404.88 and 878.38 is: 1,905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.88 : 878.38 = 878.38 : x
  2. Step 2: Convert to fraction form
    404.88/878.38 = 878.38/x
  3. Step 3: Cross multiply
    404.88x = 878.38 × 878.38
  4. Step 4: Simplify right side
    404.88x = 771,542.64
  5. Step 5: Solve for x
    x = 771,542.64/404.88
  6. Step 6: Final answer
    x = 1,905.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.