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Finding the Third Proportional to 445,941 and 980,442

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Solution

The third proportional to 445,941 and 980,442 is: 2,155,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,941 : 980,442 = 980,442 : x
  2. Step 2: Convert to fraction form
    445,941/980,442 = 980,442/x
  3. Step 3: Cross multiply
    445,941x = 980,442 × 980,442
  4. Step 4: Simplify right side
    445,941x = 961,266,515,364
  5. Step 5: Solve for x
    x = 961,266,515,364/445,941
  6. Step 6: Final answer
    x = 2,155,591.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.