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Finding the Third Proportional to 129,800 and 189,598

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Solution

The third proportional to 129,800 and 189,598 is: 276,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,800 : 189,598 = 189,598 : x
  2. Step 2: Convert to fraction form
    129,800/189,598 = 189,598/x
  3. Step 3: Cross multiply
    129,800x = 189,598 × 189,598
  4. Step 4: Simplify right side
    129,800x = 35,947,401,604
  5. Step 5: Solve for x
    x = 35,947,401,604/129,800
  6. Step 6: Final answer
    x = 276,944.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.