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Finding the Third Proportional to 541.92 and 816.70

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Solution

The third proportional to 541.92 and 816.70 is: 1,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.92 : 816.70 = 816.70 : x
  2. Step 2: Convert to fraction form
    541.92/816.70 = 816.70/x
  3. Step 3: Cross multiply
    541.92x = 816.70 × 816.70
  4. Step 4: Simplify right side
    541.92x = 667,003.99
  5. Step 5: Solve for x
    x = 667,003.99/541.92
  6. Step 6: Final answer
    x = 1,230.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.