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Finding the Third Proportional to 279.19 and 609.56

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Solution

The third proportional to 279.19 and 609.56 is: 1,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.19 : 609.56 = 609.56 : x
  2. Step 2: Convert to fraction form
    279.19/609.56 = 609.56/x
  3. Step 3: Cross multiply
    279.19x = 609.56 × 609.56
  4. Step 4: Simplify right side
    279.19x = 371,566.44
  5. Step 5: Solve for x
    x = 371,566.44/279.19
  6. Step 6: Final answer
    x = 1,330.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.