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Finding the Third Proportional to 256,811 and 399,205

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Solution

The third proportional to 256,811 and 399,205 is: 620,552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,811 : 399,205 = 399,205 : x
  2. Step 2: Convert to fraction form
    256,811/399,205 = 399,205/x
  3. Step 3: Cross multiply
    256,811x = 399,205 × 399,205
  4. Step 4: Simplify right side
    256,811x = 159,364,632,025
  5. Step 5: Solve for x
    x = 159,364,632,025/256,811
  6. Step 6: Final answer
    x = 620,552.20

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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.