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Finding the Third Proportional to 279.28 and 618.47

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Solution

The third proportional to 279.28 and 618.47 is: 1,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.28 : 618.47 = 618.47 : x
  2. Step 2: Convert to fraction form
    279.28/618.47 = 618.47/x
  3. Step 3: Cross multiply
    279.28x = 618.47 × 618.47
  4. Step 4: Simplify right side
    279.28x = 382,503.59
  5. Step 5: Solve for x
    x = 382,503.59/279.28
  6. Step 6: Final answer
    x = 1,369.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.