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Finding the Third Proportional to 445,943 and 980,446

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Solution

The third proportional to 445,943 and 980,446 is: 2,155,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,943 : 980,446 = 980,446 : x
  2. Step 2: Convert to fraction form
    445,943/980,446 = 980,446/x
  3. Step 3: Cross multiply
    445,943x = 980,446 × 980,446
  4. Step 4: Simplify right side
    445,943x = 961,274,358,916
  5. Step 5: Solve for x
    x = 961,274,358,916/445,943
  6. Step 6: Final answer
    x = 2,155,599.17

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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.