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Finding the Third Proportional to 256,550 and 394,911

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Solution

The third proportional to 256,550 and 394,911 is: 607,892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,550 : 394,911 = 394,911 : x
  2. Step 2: Convert to fraction form
    256,550/394,911 = 394,911/x
  3. Step 3: Cross multiply
    256,550x = 394,911 × 394,911
  4. Step 4: Simplify right side
    256,550x = 155,954,697,921
  5. Step 5: Solve for x
    x = 155,954,697,921/256,550
  6. Step 6: Final answer
    x = 607,892.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.