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Finding the Third Proportional to 338,903,021 and 523,691,589

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Solution

The third proportional to 338,903,021 and 523,691,589 is: 809,237,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,903,021 : 523,691,589 = 523,691,589 : x
  2. Step 2: Convert to fraction form
    338,903,021/523,691,589 = 523,691,589/x
  3. Step 3: Cross multiply
    338,903,021x = 523,691,589 × 523,691,589
  4. Step 4: Simplify right side
    338,903,021x = 274,252,880,389,344,928
  5. Step 5: Solve for x
    x = 274,252,880,389,344,928/338,903,021
  6. Step 6: Final answer
    x = 809,237,048.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.