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Finding the Third Proportional to 812.74 and 1,683.07

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Solution

The third proportional to 812.74 and 1,683.07 is: 3,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.74 : 1,683.07 = 1,683.07 : x
  2. Step 2: Convert to fraction form
    812.74/1,683.07 = 1,683.07/x
  3. Step 3: Cross multiply
    812.74x = 1,683.07 × 1,683.07
  4. Step 4: Simplify right side
    812.74x = 2,832,725.68
  5. Step 5: Solve for x
    x = 2,832,725.68/812.74
  6. Step 6: Final answer
    x = 3,485.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.