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Finding the Third Proportional to 1,278.28 and 1,887.05

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Solution

The third proportional to 1,278.28 and 1,887.05 is: 2,785.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.28 : 1,887.05 = 1,887.05 : x
  2. Step 2: Convert to fraction form
    1,278.28/1,887.05 = 1,887.05/x
  3. Step 3: Cross multiply
    1,278.28x = 1,887.05 × 1,887.05
  4. Step 4: Simplify right side
    1,278.28x = 3,560,945.91
  5. Step 5: Solve for x
    x = 3,560,945.91/1,278.28
  6. Step 6: Final answer
    x = 2,785.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.