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Finding the Third Proportional to 400.31 and 584.91

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Solution

The third proportional to 400.31 and 584.91 is: 854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.31 : 584.91 = 584.91 : x
  2. Step 2: Convert to fraction form
    400.31/584.91 = 584.91/x
  3. Step 3: Cross multiply
    400.31x = 584.91 × 584.91
  4. Step 4: Simplify right side
    400.31x = 342,115.32
  5. Step 5: Solve for x
    x = 342,115.32/400.31
  6. Step 6: Final answer
    x = 854.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.