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Finding the Third Proportional to 74,439 and 154,892

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Solution

The third proportional to 74,439 and 154,892 is: 322,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,439 : 154,892 = 154,892 : x
  2. Step 2: Convert to fraction form
    74,439/154,892 = 154,892/x
  3. Step 3: Cross multiply
    74,439x = 154,892 × 154,892
  4. Step 4: Simplify right side
    74,439x = 23,991,531,664
  5. Step 5: Solve for x
    x = 23,991,531,664/74,439
  6. Step 6: Final answer
    x = 322,297.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.