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Finding the Third Proportional to 404,420 and 880,186

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Solution

The third proportional to 404,420 and 880,186 is: 1,915,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,420 : 880,186 = 880,186 : x
  2. Step 2: Convert to fraction form
    404,420/880,186 = 880,186/x
  3. Step 3: Cross multiply
    404,420x = 880,186 × 880,186
  4. Step 4: Simplify right side
    404,420x = 774,727,394,596
  5. Step 5: Solve for x
    x = 774,727,394,596/404,420
  6. Step 6: Final answer
    x = 1,915,650.55

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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.