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Finding the Third Proportional to 382,132 and 809,780

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Solution

The third proportional to 382,132 and 809,780 is: 1,716,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,132 : 809,780 = 809,780 : x
  2. Step 2: Convert to fraction form
    382,132/809,780 = 809,780/x
  3. Step 3: Cross multiply
    382,132x = 809,780 × 809,780
  4. Step 4: Simplify right side
    382,132x = 655,743,648,400
  5. Step 5: Solve for x
    x = 655,743,648,400/382,132
  6. Step 6: Final answer
    x = 1,716,013.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.