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Finding the Third Proportional to 272,327 and 419,974

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Solution

The third proportional to 272,327 and 419,974 is: 647,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,327 : 419,974 = 419,974 : x
  2. Step 2: Convert to fraction form
    272,327/419,974 = 419,974/x
  3. Step 3: Cross multiply
    272,327x = 419,974 × 419,974
  4. Step 4: Simplify right side
    272,327x = 176,378,160,676
  5. Step 5: Solve for x
    x = 176,378,160,676/272,327
  6. Step 6: Final answer
    x = 647,670.49

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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.