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Finding the Third Proportional to 380,264 and 826,220

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Solution

The third proportional to 380,264 and 826,220 is: 1,795,172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,264 : 826,220 = 826,220 : x
  2. Step 2: Convert to fraction form
    380,264/826,220 = 826,220/x
  3. Step 3: Cross multiply
    380,264x = 826,220 × 826,220
  4. Step 4: Simplify right side
    380,264x = 682,639,488,400
  5. Step 5: Solve for x
    x = 682,639,488,400/380,264
  6. Step 6: Final answer
    x = 1,795,172.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.