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Finding the Third Proportional to 1,821.66 and 3,728.53

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Solution

The third proportional to 1,821.66 and 3,728.53 is: 7,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.66 : 3,728.53 = 3,728.53 : x
  2. Step 2: Convert to fraction form
    1,821.66/3,728.53 = 3,728.53/x
  3. Step 3: Cross multiply
    1,821.66x = 3,728.53 × 3,728.53
  4. Step 4: Simplify right side
    1,821.66x = 13,901,945.28
  5. Step 5: Solve for x
    x = 13,901,945.28/1,821.66
  6. Step 6: Final answer
    x = 7,631.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.