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Finding the Third Proportional to 256,286 and 407,318

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Solution

The third proportional to 256,286 and 407,318 is: 647,354.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,286 : 407,318 = 407,318 : x
  2. Step 2: Convert to fraction form
    256,286/407,318 = 407,318/x
  3. Step 3: Cross multiply
    256,286x = 407,318 × 407,318
  4. Step 4: Simplify right side
    256,286x = 165,907,953,124
  5. Step 5: Solve for x
    x = 165,907,953,124/256,286
  6. Step 6: Final answer
    x = 647,354.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.