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Finding the Third Proportional to 303,133 and 421,477

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Solution

The third proportional to 303,133 and 421,477 is: 586,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,133 : 421,477 = 421,477 : x
  2. Step 2: Convert to fraction form
    303,133/421,477 = 421,477/x
  3. Step 3: Cross multiply
    303,133x = 421,477 × 421,477
  4. Step 4: Simplify right side
    303,133x = 177,642,861,529
  5. Step 5: Solve for x
    x = 177,642,861,529/303,133
  6. Step 6: Final answer
    x = 586,022.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.