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Finding the Third Proportional to 74,331 and 154,845

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Solution

The third proportional to 74,331 and 154,845 is: 322,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,331 : 154,845 = 154,845 : x
  2. Step 2: Convert to fraction form
    74,331/154,845 = 154,845/x
  3. Step 3: Cross multiply
    74,331x = 154,845 × 154,845
  4. Step 4: Simplify right side
    74,331x = 23,976,974,025
  5. Step 5: Solve for x
    x = 23,976,974,025/74,331
  6. Step 6: Final answer
    x = 322,570.31

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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.