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Finding the Third Proportional to 129,208 and 189,558

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Solution

The third proportional to 129,208 and 189,558 is: 278,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,208 : 189,558 = 189,558 : x
  2. Step 2: Convert to fraction form
    129,208/189,558 = 189,558/x
  3. Step 3: Cross multiply
    129,208x = 189,558 × 189,558
  4. Step 4: Simplify right side
    129,208x = 35,932,235,364
  5. Step 5: Solve for x
    x = 35,932,235,364/129,208
  6. Step 6: Final answer
    x = 278,096.06

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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.