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Finding the Third Proportional to 371,118 and 809,628

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Solution

The third proportional to 371,118 and 809,628 is: 1,766,277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,118 : 809,628 = 809,628 : x
  2. Step 2: Convert to fraction form
    371,118/809,628 = 809,628/x
  3. Step 3: Cross multiply
    371,118x = 809,628 × 809,628
  4. Step 4: Simplify right side
    371,118x = 655,497,498,384
  5. Step 5: Solve for x
    x = 655,497,498,384/371,118
  6. Step 6: Final answer
    x = 1,766,277.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.