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Finding the Third Proportional to 382,123 and 809,761

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Solution

The third proportional to 382,123 and 809,761 is: 1,715,973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,123 : 809,761 = 809,761 : x
  2. Step 2: Convert to fraction form
    382,123/809,761 = 809,761/x
  3. Step 3: Cross multiply
    382,123x = 809,761 × 809,761
  4. Step 4: Simplify right side
    382,123x = 655,712,877,121
  5. Step 5: Solve for x
    x = 655,712,877,121/382,123
  6. Step 6: Final answer
    x = 1,715,973.33

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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.