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Finding the Third Proportional to 279.49 and 603.49

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Solution

The third proportional to 279.49 and 603.49 is: 1,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.49 : 603.49 = 603.49 : x
  2. Step 2: Convert to fraction form
    279.49/603.49 = 603.49/x
  3. Step 3: Cross multiply
    279.49x = 603.49 × 603.49
  4. Step 4: Simplify right side
    279.49x = 364,202.82
  5. Step 5: Solve for x
    x = 364,202.82/279.49
  6. Step 6: Final answer
    x = 1,303.09

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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.