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Finding the Third Proportional to 431,520 and 880,176

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Solution

The third proportional to 431,520 and 880,176 is: 1,795,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,520 : 880,176 = 880,176 : x
  2. Step 2: Convert to fraction form
    431,520/880,176 = 880,176/x
  3. Step 3: Cross multiply
    431,520x = 880,176 × 880,176
  4. Step 4: Simplify right side
    431,520x = 774,709,790,976
  5. Step 5: Solve for x
    x = 774,709,790,976/431,520
  6. Step 6: Final answer
    x = 1,795,304.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.