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Finding the Third Proportional to 843.64 and 1,854.56

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Solution

The third proportional to 843.64 and 1,854.56 is: 4,076.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.64 : 1,854.56 = 1,854.56 : x
  2. Step 2: Convert to fraction form
    843.64/1,854.56 = 1,854.56/x
  3. Step 3: Cross multiply
    843.64x = 1,854.56 × 1,854.56
  4. Step 4: Simplify right side
    843.64x = 3,439,402.07
  5. Step 5: Solve for x
    x = 3,439,402.07/843.64
  6. Step 6: Final answer
    x = 4,076.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.