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Finding the Third Proportional to 1,256.75 and 1,989.75

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Solution

The third proportional to 1,256.75 and 1,989.75 is: 3,150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.75 : 1,989.75 = 1,989.75 : x
  2. Step 2: Convert to fraction form
    1,256.75/1,989.75 = 1,989.75/x
  3. Step 3: Cross multiply
    1,256.75x = 1,989.75 × 1,989.75
  4. Step 4: Simplify right side
    1,256.75x = 3,959,105.06
  5. Step 5: Solve for x
    x = 3,959,105.06/1,256.75
  6. Step 6: Final answer
    x = 3,150.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.