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Finding the Third Proportional to 66,069 and 140,676

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Solution

The third proportional to 66,069 and 140,676 is: 299,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,069 : 140,676 = 140,676 : x
  2. Step 2: Convert to fraction form
    66,069/140,676 = 140,676/x
  3. Step 3: Cross multiply
    66,069x = 140,676 × 140,676
  4. Step 4: Simplify right side
    66,069x = 19,789,736,976
  5. Step 5: Solve for x
    x = 19,789,736,976/66,069
  6. Step 6: Final answer
    x = 299,531.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.