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Finding the Third Proportional to 188,548.50 and 409,821

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Solution

The third proportional to 188,548.50 and 409,821 is: 890,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,548.50 : 409,821 = 409,821 : x
  2. Step 2: Convert to fraction form
    188,548.50/409,821 = 409,821/x
  3. Step 3: Cross multiply
    188,548.50x = 409,821 × 409,821
  4. Step 4: Simplify right side
    188,548.50x = 167,953,252,041
  5. Step 5: Solve for x
    x = 167,953,252,041/188,548.50
  6. Step 6: Final answer
    x = 890,769.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.