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Finding the Third Proportional to 257.63 and 404.44

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Solution

The third proportional to 257.63 and 404.44 is: 634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.63 : 404.44 = 404.44 : x
  2. Step 2: Convert to fraction form
    257.63/404.44 = 404.44/x
  3. Step 3: Cross multiply
    257.63x = 404.44 × 404.44
  4. Step 4: Simplify right side
    257.63x = 163,569.69
  5. Step 5: Solve for x
    x = 163,569.69/257.63
  6. Step 6: Final answer
    x = 634.91

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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.