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Finding the Third Proportional to 431,542 and 880,220

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Solution

The third proportional to 431,542 and 880,220 is: 1,795,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,542 : 880,220 = 880,220 : x
  2. Step 2: Convert to fraction form
    431,542/880,220 = 880,220/x
  3. Step 3: Cross multiply
    431,542x = 880,220 × 880,220
  4. Step 4: Simplify right side
    431,542x = 774,787,248,400
  5. Step 5: Solve for x
    x = 774,787,248,400/431,542
  6. Step 6: Final answer
    x = 1,795,392.45

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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.