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Finding the Third Proportional to 445,939 and 980,438

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Solution

The third proportional to 445,939 and 980,438 is: 2,155,583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,939 : 980,438 = 980,438 : x
  2. Step 2: Convert to fraction form
    445,939/980,438 = 980,438/x
  3. Step 3: Cross multiply
    445,939x = 980,438 × 980,438
  4. Step 4: Simplify right side
    445,939x = 961,258,671,844
  5. Step 5: Solve for x
    x = 961,258,671,844/445,939
  6. Step 6: Final answer
    x = 2,155,583.32

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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.