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Finding the Third Proportional to 271,828 and 419,862

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Solution

The third proportional to 271,828 and 419,862 is: 648,513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,828 : 419,862 = 419,862 : x
  2. Step 2: Convert to fraction form
    271,828/419,862 = 419,862/x
  3. Step 3: Cross multiply
    271,828x = 419,862 × 419,862
  4. Step 4: Simplify right side
    271,828x = 176,284,099,044
  5. Step 5: Solve for x
    x = 176,284,099,044/271,828
  6. Step 6: Final answer
    x = 648,513.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.