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Finding the Third Proportional to 579.94 and 1,287.84

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Solution

The third proportional to 579.94 and 1,287.84 is: 2,859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.94 : 1,287.84 = 1,287.84 : x
  2. Step 2: Convert to fraction form
    579.94/1,287.84 = 1,287.84/x
  3. Step 3: Cross multiply
    579.94x = 1,287.84 × 1,287.84
  4. Step 4: Simplify right side
    579.94x = 1,658,541.52
  5. Step 5: Solve for x
    x = 1,658,541.52/579.94
  6. Step 6: Final answer
    x = 2,859.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.