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Finding the Third Proportional to 186,782 and 279,512

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Solution

The third proportional to 186,782 and 279,512 is: 418,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,782 : 279,512 = 279,512 : x
  2. Step 2: Convert to fraction form
    186,782/279,512 = 279,512/x
  3. Step 3: Cross multiply
    186,782x = 279,512 × 279,512
  4. Step 4: Simplify right side
    186,782x = 78,126,958,144
  5. Step 5: Solve for x
    x = 78,126,958,144/186,782
  6. Step 6: Final answer
    x = 418,278.84

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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.