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Finding the Third Proportional to 419,421 and 911,742

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Solution

The third proportional to 419,421 and 911,742 is: 1,981,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,421 : 911,742 = 911,742 : x
  2. Step 2: Convert to fraction form
    419,421/911,742 = 911,742/x
  3. Step 3: Cross multiply
    419,421x = 911,742 × 911,742
  4. Step 4: Simplify right side
    419,421x = 831,273,474,564
  5. Step 5: Solve for x
    x = 831,273,474,564/419,421
  6. Step 6: Final answer
    x = 1,981,954.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.