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Finding the Third Proportional to 1,672.31 and 3,655.97

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Solution

The third proportional to 1,672.31 and 3,655.97 is: 7,992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.31 : 3,655.97 = 3,655.97 : x
  2. Step 2: Convert to fraction form
    1,672.31/3,655.97 = 3,655.97/x
  3. Step 3: Cross multiply
    1,672.31x = 3,655.97 × 3,655.97
  4. Step 4: Simplify right side
    1,672.31x = 13,366,107.50
  5. Step 5: Solve for x
    x = 13,366,107.50/1,672.31
  6. Step 6: Final answer
    x = 7,992.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.