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Finding the Third Proportional to 789.38 and 1,721.63

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Solution

The third proportional to 789.38 and 1,721.63 is: 3,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.38 : 1,721.63 = 1,721.63 : x
  2. Step 2: Convert to fraction form
    789.38/1,721.63 = 1,721.63/x
  3. Step 3: Cross multiply
    789.38x = 1,721.63 × 1,721.63
  4. Step 4: Simplify right side
    789.38x = 2,963,992.64
  5. Step 5: Solve for x
    x = 2,963,992.64/789.38
  6. Step 6: Final answer
    x = 3,754.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.