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Finding the Third Proportional to 518.06 and 727.31

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Solution

The third proportional to 518.06 and 727.31 is: 1,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.06 : 727.31 = 727.31 : x
  2. Step 2: Convert to fraction form
    518.06/727.31 = 727.31/x
  3. Step 3: Cross multiply
    518.06x = 727.31 × 727.31
  4. Step 4: Simplify right side
    518.06x = 528,983.47
  5. Step 5: Solve for x
    x = 528,983.47/518.06
  6. Step 6: Final answer
    x = 1,021.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.