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Finding the Third Proportional to 380,946 and 819,220

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Solution

The third proportional to 380,946 and 819,220 is: 1,761,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,946 : 819,220 = 819,220 : x
  2. Step 2: Convert to fraction form
    380,946/819,220 = 819,220/x
  3. Step 3: Cross multiply
    380,946x = 819,220 × 819,220
  4. Step 4: Simplify right side
    380,946x = 671,121,408,400
  5. Step 5: Solve for x
    x = 671,121,408,400/380,946
  6. Step 6: Final answer
    x = 1,761,723.21

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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.