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Finding the Third Proportional to 578.39 and 1,246.64

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Solution

The third proportional to 578.39 and 1,246.64 is: 2,686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.39 : 1,246.64 = 1,246.64 : x
  2. Step 2: Convert to fraction form
    578.39/1,246.64 = 1,246.64/x
  3. Step 3: Cross multiply
    578.39x = 1,246.64 × 1,246.64
  4. Step 4: Simplify right side
    578.39x = 1,554,112.85
  5. Step 5: Solve for x
    x = 1,554,112.85/578.39
  6. Step 6: Final answer
    x = 2,686.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.