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Finding the Third Proportional to 30,424 and 65,149

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Solution

The third proportional to 30,424 and 65,149 is: 139,508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,424 : 65,149 = 65,149 : x
  2. Step 2: Convert to fraction form
    30,424/65,149 = 65,149/x
  3. Step 3: Cross multiply
    30,424x = 65,149 × 65,149
  4. Step 4: Simplify right side
    30,424x = 4,244,392,201
  5. Step 5: Solve for x
    x = 4,244,392,201/30,424
  6. Step 6: Final answer
    x = 139,508.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.