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Finding the Third Proportional to 380,716 and 818,847

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Solution

The third proportional to 380,716 and 818,847 is: 1,761,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,716 : 818,847 = 818,847 : x
  2. Step 2: Convert to fraction form
    380,716/818,847 = 818,847/x
  3. Step 3: Cross multiply
    380,716x = 818,847 × 818,847
  4. Step 4: Simplify right side
    380,716x = 670,510,409,409
  5. Step 5: Solve for x
    x = 670,510,409,409/380,716
  6. Step 6: Final answer
    x = 1,761,182.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.