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Finding the Third Proportional to 1,287 and 1,673

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Solution

The third proportional to 1,287 and 1,673 is: 2,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287 : 1,673 = 1,673 : x
  2. Step 2: Convert to fraction form
    1,287/1,673 = 1,673/x
  3. Step 3: Cross multiply
    1,287x = 1,673 × 1,673
  4. Step 4: Simplify right side
    1,287x = 2,798,929
  5. Step 5: Solve for x
    x = 2,798,929/1,287
  6. Step 6: Final answer
    x = 2,174.77

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.