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Finding the Third Proportional to 631.50 and 1,280.75

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Solution

The third proportional to 631.50 and 1,280.75 is: 2,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.50 : 1,280.75 = 1,280.75 : x
  2. Step 2: Convert to fraction form
    631.50/1,280.75 = 1,280.75/x
  3. Step 3: Cross multiply
    631.50x = 1,280.75 × 1,280.75
  4. Step 4: Simplify right side
    631.50x = 1,640,320.56
  5. Step 5: Solve for x
    x = 1,640,320.56/631.50
  6. Step 6: Final answer
    x = 2,597.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.