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Finding the Third Proportional to 380,719 and 818,853

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Solution

The third proportional to 380,719 and 818,853 is: 1,761,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,719 : 818,853 = 818,853 : x
  2. Step 2: Convert to fraction form
    380,719/818,853 = 818,853/x
  3. Step 3: Cross multiply
    380,719x = 818,853 × 818,853
  4. Step 4: Simplify right side
    380,719x = 670,520,235,609
  5. Step 5: Solve for x
    x = 670,520,235,609/380,719
  6. Step 6: Final answer
    x = 1,761,194.57

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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.