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Finding the Third Proportional to 409,399 and 888,729

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Solution

The third proportional to 409,399 and 888,729 is: 1,929,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,399 : 888,729 = 888,729 : x
  2. Step 2: Convert to fraction form
    409,399/888,729 = 888,729/x
  3. Step 3: Cross multiply
    409,399x = 888,729 × 888,729
  4. Step 4: Simplify right side
    409,399x = 789,839,235,441
  5. Step 5: Solve for x
    x = 789,839,235,441/409,399
  6. Step 6: Final answer
    x = 1,929,265.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.