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Finding the Third Proportional to 676.48 and 1,406.11

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Solution

The third proportional to 676.48 and 1,406.11 is: 2,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.48 : 1,406.11 = 1,406.11 : x
  2. Step 2: Convert to fraction form
    676.48/1,406.11 = 1,406.11/x
  3. Step 3: Cross multiply
    676.48x = 1,406.11 × 1,406.11
  4. Step 4: Simplify right side
    676.48x = 1,977,143.57
  5. Step 5: Solve for x
    x = 1,977,143.57/676.48
  6. Step 6: Final answer
    x = 2,922.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.