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Finding the Third Proportional to 663.39 and 1,405.79

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Solution

The third proportional to 663.39 and 1,405.79 is: 2,979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.39 : 1,405.79 = 1,405.79 : x
  2. Step 2: Convert to fraction form
    663.39/1,405.79 = 1,405.79/x
  3. Step 3: Cross multiply
    663.39x = 1,405.79 × 1,405.79
  4. Step 4: Simplify right side
    663.39x = 1,976,253.87
  5. Step 5: Solve for x
    x = 1,976,253.87/663.39
  6. Step 6: Final answer
    x = 2,979.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.