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Finding the Third Proportional to 445,940 and 980,440

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Solution

The third proportional to 445,940 and 980,440 is: 2,155,587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,940 : 980,440 = 980,440 : x
  2. Step 2: Convert to fraction form
    445,940/980,440 = 980,440/x
  3. Step 3: Cross multiply
    445,940x = 980,440 × 980,440
  4. Step 4: Simplify right side
    445,940x = 961,262,593,600
  5. Step 5: Solve for x
    x = 961,262,593,600/445,940
  6. Step 6: Final answer
    x = 2,155,587.28

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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.