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Finding the Third Proportional to 268.88 and 579.94

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Solution

The third proportional to 268.88 and 579.94 is: 1,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.88 : 579.94 = 579.94 : x
  2. Step 2: Convert to fraction form
    268.88/579.94 = 579.94/x
  3. Step 3: Cross multiply
    268.88x = 579.94 × 579.94
  4. Step 4: Simplify right side
    268.88x = 336,327.50
  5. Step 5: Solve for x
    x = 336,327.50/268.88
  6. Step 6: Final answer
    x = 1,250.87

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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.