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Finding the Third Proportional to 663.88 and 1,027.19

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Solution

The third proportional to 663.88 and 1,027.19 is: 1,589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.88 : 1,027.19 = 1,027.19 : x
  2. Step 2: Convert to fraction form
    663.88/1,027.19 = 1,027.19/x
  3. Step 3: Cross multiply
    663.88x = 1,027.19 × 1,027.19
  4. Step 4: Simplify right side
    663.88x = 1,055,114.16
  5. Step 5: Solve for x
    x = 1,055,114.16/663.88
  6. Step 6: Final answer
    x = 1,589.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.