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Finding the Third Proportional to 382,130 and 809,773

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Solution

The third proportional to 382,130 and 809,773 is: 1,715,992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,130 : 809,773 = 809,773 : x
  2. Step 2: Convert to fraction form
    382,130/809,773 = 809,773/x
  3. Step 3: Cross multiply
    382,130x = 809,773 × 809,773
  4. Step 4: Simplify right side
    382,130x = 655,732,311,529
  5. Step 5: Solve for x
    x = 655,732,311,529/382,130
  6. Step 6: Final answer
    x = 1,715,992.76

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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.