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Finding the Third Proportional to 717.21 and 1,520.92

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Solution

The third proportional to 717.21 and 1,520.92 is: 3,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.21 : 1,520.92 = 1,520.92 : x
  2. Step 2: Convert to fraction form
    717.21/1,520.92 = 1,520.92/x
  3. Step 3: Cross multiply
    717.21x = 1,520.92 × 1,520.92
  4. Step 4: Simplify right side
    717.21x = 2,313,183.67
  5. Step 5: Solve for x
    x = 2,313,183.67/717.21
  6. Step 6: Final answer
    x = 3,225.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.