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Finding the Third Proportional to 631.25 and 1,288.25

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Solution

The third proportional to 631.25 and 1,288.25 is: 2,629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.25 : 1,288.25 = 1,288.25 : x
  2. Step 2: Convert to fraction form
    631.25/1,288.25 = 1,288.25/x
  3. Step 3: Cross multiply
    631.25x = 1,288.25 × 1,288.25
  4. Step 4: Simplify right side
    631.25x = 1,659,588.06
  5. Step 5: Solve for x
    x = 1,659,588.06/631.25
  6. Step 6: Final answer
    x = 2,629.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.