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Finding the Third Proportional to 686.39 and 1,450.41

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Solution

The third proportional to 686.39 and 1,450.41 is: 3,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.39 : 1,450.41 = 1,450.41 : x
  2. Step 2: Convert to fraction form
    686.39/1,450.41 = 1,450.41/x
  3. Step 3: Cross multiply
    686.39x = 1,450.41 × 1,450.41
  4. Step 4: Simplify right side
    686.39x = 2,103,678.29
  5. Step 5: Solve for x
    x = 2,103,678.29/686.39
  6. Step 6: Final answer
    x = 3,064.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.