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Finding the Third Proportional to 279.18 and 613.30

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Solution

The third proportional to 279.18 and 613.30 is: 1,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.18 : 613.30 = 613.30 : x
  2. Step 2: Convert to fraction form
    279.18/613.30 = 613.30/x
  3. Step 3: Cross multiply
    279.18x = 613.30 × 613.30
  4. Step 4: Simplify right side
    279.18x = 376,137.85
  5. Step 5: Solve for x
    x = 376,137.85/279.18
  6. Step 6: Final answer
    x = 1,347.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.