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Finding the Third Proportional to 276.97 and 410.09

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Solution

The third proportional to 276.97 and 410.09 is: 607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.97 : 410.09 = 410.09 : x
  2. Step 2: Convert to fraction form
    276.97/410.09 = 410.09/x
  3. Step 3: Cross multiply
    276.97x = 410.09 × 410.09
  4. Step 4: Simplify right side
    276.97x = 168,176.88
  5. Step 5: Solve for x
    x = 168,176.88/276.97
  6. Step 6: Final answer
    x = 607.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.