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Finding the Third Proportional to 257.71 and 479.83

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Solution

The third proportional to 257.71 and 479.83 is: 893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.71 : 479.83 = 479.83 : x
  2. Step 2: Convert to fraction form
    257.71/479.83 = 479.83/x
  3. Step 3: Cross multiply
    257.71x = 479.83 × 479.83
  4. Step 4: Simplify right side
    257.71x = 230,236.90
  5. Step 5: Solve for x
    x = 230,236.90/257.71
  6. Step 6: Final answer
    x = 893.39

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.