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Finding the Third Proportional to 256,809 and 399,201

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Solution

The third proportional to 256,809 and 399,201 is: 620,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,809 : 399,201 = 399,201 : x
  2. Step 2: Convert to fraction form
    256,809/399,201 = 399,201/x
  3. Step 3: Cross multiply
    256,809x = 399,201 × 399,201
  4. Step 4: Simplify right side
    256,809x = 159,361,438,401
  5. Step 5: Solve for x
    x = 159,361,438,401/256,809
  6. Step 6: Final answer
    x = 620,544.60

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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.