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Finding the Third Proportional to 1,687.71 and 3,925.97

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Solution

The third proportional to 1,687.71 and 3,925.97 is: 9,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.71 : 3,925.97 = 3,925.97 : x
  2. Step 2: Convert to fraction form
    1,687.71/3,925.97 = 3,925.97/x
  3. Step 3: Cross multiply
    1,687.71x = 3,925.97 × 3,925.97
  4. Step 4: Simplify right side
    1,687.71x = 15,413,230.63
  5. Step 5: Solve for x
    x = 15,413,230.63/1,687.71
  6. Step 6: Final answer
    x = 9,132.62

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.