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Finding the Third Proportional to 812.06 and 1,185.19

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Solution

The third proportional to 812.06 and 1,185.19 is: 1,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.06 : 1,185.19 = 1,185.19 : x
  2. Step 2: Convert to fraction form
    812.06/1,185.19 = 1,185.19/x
  3. Step 3: Cross multiply
    812.06x = 1,185.19 × 1,185.19
  4. Step 4: Simplify right side
    812.06x = 1,404,669.41
  5. Step 5: Solve for x
    x = 1,404,669.41/812.06
  6. Step 6: Final answer
    x = 1,729.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.