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Finding the Third Proportional to 256,819 and 399,216

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Solution

The third proportional to 256,819 and 399,216 is: 620,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,819 : 399,216 = 399,216 : x
  2. Step 2: Convert to fraction form
    256,819/399,216 = 399,216/x
  3. Step 3: Cross multiply
    256,819x = 399,216 × 399,216
  4. Step 4: Simplify right side
    256,819x = 159,373,414,656
  5. Step 5: Solve for x
    x = 159,373,414,656/256,819
  6. Step 6: Final answer
    x = 620,567.07

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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.