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Finding the Third Proportional to 445,938 and 980,436

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Solution

The third proportional to 445,938 and 980,436 is: 2,155,579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,938 : 980,436 = 980,436 : x
  2. Step 2: Convert to fraction form
    445,938/980,436 = 980,436/x
  3. Step 3: Cross multiply
    445,938x = 980,436 × 980,436
  4. Step 4: Simplify right side
    445,938x = 961,254,750,096
  5. Step 5: Solve for x
    x = 961,254,750,096/445,938
  6. Step 6: Final answer
    x = 2,155,579.36

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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.