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Finding the Third Proportional to 863.88 and 1,125.75

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Solution

The third proportional to 863.88 and 1,125.75 is: 1,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.88 : 1,125.75 = 1,125.75 : x
  2. Step 2: Convert to fraction form
    863.88/1,125.75 = 1,125.75/x
  3. Step 3: Cross multiply
    863.88x = 1,125.75 × 1,125.75
  4. Step 4: Simplify right side
    863.88x = 1,267,313.06
  5. Step 5: Solve for x
    x = 1,267,313.06/863.88
  6. Step 6: Final answer
    x = 1,467.01

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.