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Finding the Third Proportional to 271,872 and 419,928

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Solution

The third proportional to 271,872 and 419,928 is: 648,612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,872 : 419,928 = 419,928 : x
  2. Step 2: Convert to fraction form
    271,872/419,928 = 419,928/x
  3. Step 3: Cross multiply
    271,872x = 419,928 × 419,928
  4. Step 4: Simplify right side
    271,872x = 176,339,525,184
  5. Step 5: Solve for x
    x = 176,339,525,184/271,872
  6. Step 6: Final answer
    x = 648,612.31

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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.