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Finding the Third Proportional to 668.34 and 1,610.09

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Solution

The third proportional to 668.34 and 1,610.09 is: 3,878.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.34 : 1,610.09 = 1,610.09 : x
  2. Step 2: Convert to fraction form
    668.34/1,610.09 = 1,610.09/x
  3. Step 3: Cross multiply
    668.34x = 1,610.09 × 1,610.09
  4. Step 4: Simplify right side
    668.34x = 2,592,401.88
  5. Step 5: Solve for x
    x = 2,592,401.88/668.34
  6. Step 6: Final answer
    x = 3,878.85

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.