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Finding the Third Proportional to 1,257.82 and 1,954.76

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Solution

The third proportional to 1,257.82 and 1,954.76 is: 3,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.82 : 1,954.76 = 1,954.76 : x
  2. Step 2: Convert to fraction form
    1,257.82/1,954.76 = 1,954.76/x
  3. Step 3: Cross multiply
    1,257.82x = 1,954.76 × 1,954.76
  4. Step 4: Simplify right side
    1,257.82x = 3,821,078.11
  5. Step 5: Solve for x
    x = 3,821,078.11/1,257.82
  6. Step 6: Final answer
    x = 3,037.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.