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Finding the Third Proportional to 256,771 and 385,203

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Solution

The third proportional to 256,771 and 385,203 is: 577,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,771 : 385,203 = 385,203 : x
  2. Step 2: Convert to fraction form
    256,771/385,203 = 385,203/x
  3. Step 3: Cross multiply
    256,771x = 385,203 × 385,203
  4. Step 4: Simplify right side
    256,771x = 148,381,351,209
  5. Step 5: Solve for x
    x = 148,381,351,209/256,771
  6. Step 6: Final answer
    x = 577,874.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.