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Finding the Third Proportional to 183,069 and 385,821

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Solution

The third proportional to 183,069 and 385,821 is: 813,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,069 : 385,821 = 385,821 : x
  2. Step 2: Convert to fraction form
    183,069/385,821 = 385,821/x
  3. Step 3: Cross multiply
    183,069x = 385,821 × 385,821
  4. Step 4: Simplify right side
    183,069x = 148,857,844,041
  5. Step 5: Solve for x
    x = 148,857,844,041/183,069
  6. Step 6: Final answer
    x = 813,124.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.