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Finding the Third Proportional to 129,247 and 189,610

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Solution

The third proportional to 129,247 and 189,610 is: 278,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,247 : 189,610 = 189,610 : x
  2. Step 2: Convert to fraction form
    129,247/189,610 = 189,610/x
  3. Step 3: Cross multiply
    129,247x = 189,610 × 189,610
  4. Step 4: Simplify right side
    129,247x = 35,951,952,100
  5. Step 5: Solve for x
    x = 35,951,952,100/129,247
  6. Step 6: Final answer
    x = 278,164.69

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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.