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Finding the Third Proportional to 279.49 and 606.02

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Solution

The third proportional to 279.49 and 606.02 is: 1,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.49 : 606.02 = 606.02 : x
  2. Step 2: Convert to fraction form
    279.49/606.02 = 606.02/x
  3. Step 3: Cross multiply
    279.49x = 606.02 × 606.02
  4. Step 4: Simplify right side
    279.49x = 367,264.41
  5. Step 5: Solve for x
    x = 367,264.41/279.49
  6. Step 6: Final answer
    x = 1,314.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.