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Finding the Third Proportional to 211,990.50 and 303,451.31

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Solution

The third proportional to 211,990.50 and 303,451.31 is: 434,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,990.50 : 303,451.31 = 303,451.31 : x
  2. Step 2: Convert to fraction form
    211,990.50/303,451.31 = 303,451.31/x
  3. Step 3: Cross multiply
    211,990.50x = 303,451.31 × 303,451.31
  4. Step 4: Simplify right side
    211,990.50x = 92,082,699,057.97
  5. Step 5: Solve for x
    x = 92,082,699,057.97/211,990.50
  6. Step 6: Final answer
    x = 434,371.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.