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Finding the Third Proportional to 380,586 and 818,580

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Solution

The third proportional to 380,586 and 818,580 is: 1,760,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,586 : 818,580 = 818,580 : x
  2. Step 2: Convert to fraction form
    380,586/818,580 = 818,580/x
  3. Step 3: Cross multiply
    380,586x = 818,580 × 818,580
  4. Step 4: Simplify right side
    380,586x = 670,073,216,400
  5. Step 5: Solve for x
    x = 670,073,216,400/380,586
  6. Step 6: Final answer
    x = 1,760,635.48

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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.