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Finding the Third Proportional to 264,954 and 399,921

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Solution

The third proportional to 264,954 and 399,921 is: 603,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,954 : 399,921 = 399,921 : x
  2. Step 2: Convert to fraction form
    264,954/399,921 = 399,921/x
  3. Step 3: Cross multiply
    264,954x = 399,921 × 399,921
  4. Step 4: Simplify right side
    264,954x = 159,936,806,241
  5. Step 5: Solve for x
    x = 159,936,806,241/264,954
  6. Step 6: Final answer
    x = 603,639.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.