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Finding the Third Proportional to 382,140 and 809,796

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Solution

The third proportional to 382,140 and 809,796 is: 1,716,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,140 : 809,796 = 809,796 : x
  2. Step 2: Convert to fraction form
    382,140/809,796 = 809,796/x
  3. Step 3: Cross multiply
    382,140x = 809,796 × 809,796
  4. Step 4: Simplify right side
    382,140x = 655,769,561,616
  5. Step 5: Solve for x
    x = 655,769,561,616/382,140
  6. Step 6: Final answer
    x = 1,716,045.33

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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.