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Finding the Third Proportional to 271,834 and 419,871

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Solution

The third proportional to 271,834 and 419,871 is: 648,526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,834 : 419,871 = 419,871 : x
  2. Step 2: Convert to fraction form
    271,834/419,871 = 419,871/x
  3. Step 3: Cross multiply
    271,834x = 419,871 × 419,871
  4. Step 4: Simplify right side
    271,834x = 176,291,656,641
  5. Step 5: Solve for x
    x = 176,291,656,641/271,834
  6. Step 6: Final answer
    x = 648,526.88

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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.