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Finding the Third Proportional to 1,264.25 and 2,687.97

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Solution

The third proportional to 1,264.25 and 2,687.97 is: 5,714.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.25 : 2,687.97 = 2,687.97 : x
  2. Step 2: Convert to fraction form
    1,264.25/2,687.97 = 2,687.97/x
  3. Step 3: Cross multiply
    1,264.25x = 2,687.97 × 2,687.97
  4. Step 4: Simplify right side
    1,264.25x = 7,225,176.00
  5. Step 5: Solve for x
    x = 7,225,176.00/1,264.25
  6. Step 6: Final answer
    x = 5,714.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.