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Finding the Third Proportional to 257.63 and 403.31

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Solution

The third proportional to 257.63 and 403.31 is: 631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.63 : 403.31 = 403.31 : x
  2. Step 2: Convert to fraction form
    257.63/403.31 = 403.31/x
  3. Step 3: Cross multiply
    257.63x = 403.31 × 403.31
  4. Step 4: Simplify right side
    257.63x = 162,660.97
  5. Step 5: Solve for x
    x = 162,660.97/257.63
  6. Step 6: Final answer
    x = 631.39

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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.