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Finding the Third Proportional to 129,109 and 189,852

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Solution

The third proportional to 129,109 and 189,852 is: 279,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,109 : 189,852 = 189,852 : x
  2. Step 2: Convert to fraction form
    129,109/189,852 = 189,852/x
  3. Step 3: Cross multiply
    129,109x = 189,852 × 189,852
  4. Step 4: Simplify right side
    129,109x = 36,043,781,904
  5. Step 5: Solve for x
    x = 36,043,781,904/129,109
  6. Step 6: Final answer
    x = 279,173.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.