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Finding the Third Proportional to 393,541.50 and 574,821

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Solution

The third proportional to 393,541.50 and 574,821 is: 839,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,541.50 : 574,821 = 574,821 : x
  2. Step 2: Convert to fraction form
    393,541.50/574,821 = 574,821/x
  3. Step 3: Cross multiply
    393,541.50x = 574,821 × 574,821
  4. Step 4: Simplify right side
    393,541.50x = 330,419,182,041
  5. Step 5: Solve for x
    x = 330,419,182,041/393,541.50
  6. Step 6: Final answer
    x = 839,604.42

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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.