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Finding the Third Proportional to 518.06 and 803.36

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Solution

The third proportional to 518.06 and 803.36 is: 1,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.06 : 803.36 = 803.36 : x
  2. Step 2: Convert to fraction form
    518.06/803.36 = 803.36/x
  3. Step 3: Cross multiply
    518.06x = 803.36 × 803.36
  4. Step 4: Simplify right side
    518.06x = 645,380.01
  5. Step 5: Solve for x
    x = 645,380.01/518.06
  6. Step 6: Final answer
    x = 1,245.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.