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Finding the Third Proportional to 1,252.83 and 1,951.73

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Solution

The third proportional to 1,252.83 and 1,951.73 is: 3,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.83 : 1,951.73 = 1,951.73 : x
  2. Step 2: Convert to fraction form
    1,252.83/1,951.73 = 1,951.73/x
  3. Step 3: Cross multiply
    1,252.83x = 1,951.73 × 1,951.73
  4. Step 4: Simplify right side
    1,252.83x = 3,809,267.07
  5. Step 5: Solve for x
    x = 3,809,267.07/1,252.83
  6. Step 6: Final answer
    x = 3,040.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.